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tii S"- J Jl .c*l JrL- JL ;.rej | ; +6 a, t f .:l s e rs :.,+:rr;t; S"- a;6 r' J 1 .,t ul.." t"r+. lI2; t; J,-. i;5 r., r-t, 1r rlt or," ,d.iLll.ep;i., !,arl,7 l.t,s.r: il.i ;.r J.>L- ;.rL lljr, ,r- i, .iJ.rL , c*"r ; alr4.1 ;:l;84 ,t+ i-15 .,r;L J-rL- cJL 1r e;l; 3 .; I .g;L- .ir! j.>
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tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

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Page 1: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

tii S"- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S"- a;6 r' J 1

.,t ul.." t"r+. lI2; t; J,-. i;5 r., r-t, 1r rlt or," ,d.iLll.ep;i., !,arl,7 l.t,s.r: il.i

;.r J.>L- ;.rL lljr, ,r- i, .iJ.rL , c*"r ; alr4.1 ;:l;84 ,t+ i-15 .,r;L J-rL- cJL 1r e;l; 3

.; I .g;L- .ir! j.>

Page 2: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

(\) lv) (v) _ s) , Z

\*r , Ul '\-]]]_] , \llll c'-di- ,+(nr + t t u l + Y + Y \ 1 * p t , a \ - I + \ " , f . \ ' 1 1 "

fr,di,ni:, tr15: J!8, r+(r-r)xrf €r r* ( !+YXf ^ t IYXY ) r ; ! ,

'\ rriL1 , t-iirr l:l:t:l-: E> l+n+Yr+rr

,,i,, 'rlrl*t i*t'.f+r t*rf;[u;;Ls ;r,iorL .W!UyU6*7 u, o,l/,t t = rJ^,d,-.,_*ruc ffi

- l+fn

aQ : o

.4--i;. u,)S cae-1ls 6r-ao= \ (a * ")r ..r1,r,.:,ro r9- r1U ,..(,- ,JlJ, 1 )Jr 7 r

t - , \ olRf

n ).'*c-t.)1,jua,it:.ts76l;*ju."c li l.rr,.r,..i.rl: ,r.rrr,;1.;,,.! o

.C..r f. e t l, tr;l;, O-.;,r. lr 4L .i- ,6;L- ,5b1[ L .,b 6ly..,1Lr e s ctrb .2s c

of =- a :s 2eLul- g1,, t

,g!cr1l,2 119 12 o.2,,ol lr,r,X,5lao,Lc . r,-r* L;i; l; ,*rr ! , u;3 JL r.r -t

6. y s" = (bc)" r

a-$ll r r+.' rlj (\,I,Y,. . . ),r+ db:.r n 6Lr, Yn - \ .5r,-',-1Lr rr (ull -Y

l , \ " , a , y , q , . r - ; l , -LL; i . , cr . rc

6r(t, antj (.,t,V,f,...) OL,-,St".,.lc m 6La, Ym + \ 6r.1 oll.c 1r (9

r - , . . / \ , Y , A , y , 1 , " r o - - r i r - 2 p 1 i 6 . ' : ' r c

VcyyrcflH );U cr) c* ), >ttot s,tb t ,ri t"rt, .,u p l: ,-e ..r ,s.$ll ,.' L-i =v./r1 *a l,: pln J* . J,; l.J^j 4J.L oa;,, olAl L |tS - -t ;,sb"fil -f

bj*.; l:!L,-.,-rJnfi lI r i " in i! jJtu lt;5.r

c*rr, r1L lr r; *t l*ci;lrl"6a +,epj .t,',tu,l.s lyiril: _2r{? ryt* t+ll

r lrJ*,r. t rS \ra;.,lr;pL ,;.r., S # rt otaJfu ,blr; .uL ,.* .c*l o:.rl

: f : l . 45 .,1 j 1 t\\ 19 r.7,g1l,o 2Q

D , [ ] , l l l ](o6 n,, l*-,r

*L* 3-! : n+\ +(nxY) <- Y+(\ xY) , Y+(YxY) , f+(lxr),o+(fxY) --+Ef:Gl C.f-Lrs.L

"* t ''' ^ ,F- arnt, C*L ! l.l .l5 ')L 1.,, vLE r:.pL ,;r:rt a;bylr

4 t.r,-rl: ;ln iLa OiL_ ,l.u,t_.r.S -r- ";rk.9lr1 .r-11 p L; ti

(Ar')'t "

ffi_I i l , n L l l , E I J Ly x f - t \ - x f - T t t x l - 1 - l - l

( n - , ) : 5 n - n + l = Y n t l

t ^ t-1c),tb(>2e1>-'s)!

g(--,t 'lr {^b rs-t[

c-toJ*d*

irru 1.t : rn+t - 1

- - r o L l - L : Y + ( n - \ ) x Y

"r, l t1.* ! : \ +6+1,1+1

.Ttt

trla z/ Yn -vD.e-u/J,;

6!-o\lG*

(zr,l")

L oru!,-r-.r{j\.-,"C:-

Page 3: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

. {-},1-.cF^ cs,-4 A 2/6KU^!.ur,$LU,L..".)L-;" r:*<tF e

'

.t*:rl, cF rL,1'l^ Vr_J t

, ar! 6 /.ee,. . ' , r l ^ , f \ "

l ;,,rt,GDry,U; ̂ ly JZ K )

OotltJ.*16

b

.,+-5 *- ;-i J<- r,. U Ur r..,** :. ffi':W

)ry',I

Ukc'

A(a+b)=0a+Ob

. J*aJ e;i td.*l o.r.l c*rr .l(.l .5.J 4 l;$ ,5.1L;./-l

J-- - --;-rt"ty V yrt

t__--rly< -Qx +0i -Yly +fx j

, -4. ,.J -L urE fli 1l ..r,rri c*:4 rJ*j $1,. lr aL+ * v-f ,1,-U -f af-;

t d L" L (J rL.,^ G al rL oV )rt --",i, si . a : g> ; t 4s o,..,[i:-t ., tr6 tr; .eto,:rLe

Cr/, S--DILW 9 (-Yl:a Xtavr'I = -tavtf q'nt=fl hxbr=bF

v r - - Q ^ h c ^ . , ' ^ r r v ' f e r - - - - e , i - r f V f i^t r | - Yax ra= ' fab - tax lar=- lYf t fbaxYbr= tY b l a4w'-vf'2toQ'r' "I -'

- \_.'

- .t-rfi41 6*c;3L-$.c"r;r.r2.rb.;1,,.;ry,35l*. I )S-:,*.r-;)

Ya(a +b) = Y av* Yo.b

+"m"_ l) , = ( b

..r+r gt4l 1, t; r5lrur> ,:;lAJ 6.51q; o r-j,l

cfi"t*F= S,+ Fi

nk*u)}a)xq

. /s--; ;r - . 1 , \ , \

= ) o ( o + b , ) = a b 1 a QS v :QC

'f),= ? t'-vx

Page 4: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

, Y

di-'t-^

)'"& -dEd

l+dlt l

(a+b)(c+d)=a(c+d)+b(c+d)= qc + sJ * bc * bl

r"@\r=*" * *d* hc *bd\-)v

\r" t?Jt f)) l2 o.rt r i.r .5ta,L-' .l-! ,6r"1 o-;l.s j.r,r'.t-,)'.L 6;sl,- 15112

,@,,= "';^i;&-J' ; tt-J"o....-(x- \Xx+\)= X +X - X- l . : 2(V- | , ,

(fx-Y)(Yx-Y)= 'txY-1X-Yx+ V - lx'- lYx-+ 7

-tl* ;+Jts. . l " 5 , : L l , . , ; , < b g , L c - \

(ug).ut,,

. +J "l,lJ

1,, 6t+ ,St\;,c*i 3r ,.r Loc-L- ,r.,1 ,j.rL-, _, rK; I .+i Lr -f

5f S g

(c+d)

f ax+ar+ax= 6Gl + Ctr

Ya-Axy+Yxy= +la-'/Xy

51-121= - lo( ! ru l= ?hI

Ya(-ox)= - ldctx -l utruf -i!lb- Y Y

Yx(Ya-b)= Taxr-Ybx

(x+YXx+t )= /'-rYx+Y

(a+?)(a-?)= a(Y- Yz

tv=€l X\or-Ya 6 - \ . a + b

\----'Y--J

( C t ' t r I\- / / uJr9t a.-t- l

b[----T-l 6[8"=6c -l'lsFETl

, \ J rYab+b'-a'-0ab= - Ys,b+ b'- q.

lx+Vx-Ax-V+\ \x+0= lfuC+ Y

= Fr-1 Fr+ Srr-FE " : -2 (a+b)(c*J)= o.c1ud"1 b"nbJ

Ctoto x

l1r,; "gb.r.rc,r;y6*.r {

. c*ir Yx\ .+V t: f "+Y;t t-+,61t€ 11 fY:.rc-Y

(-vX-rx)=+YAx ef xrvr= - {-y(-aX-b)= *-ab (-aX-a)= -rRY

ry(Yx-dy)=hcy-lb3Y

.to^.54 u13 O23-*

V0=Vx\o+6 rY=Yx\atf

;;r,l;b :-.r.r,r.,-ri-Li ab rlj L l-2 ab u*i,25r.r.rc

\ ",IU

(------------v- ,\t2 <:-.'

.R c I pr-s' C',>\-",.^/

" t l ' J b l./+

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,U& \"I n

YY\

4e

l - , r i l : , \ j ' \"(u.e I r n

)* r \ r \ v / \ ' ^n

l l

4',, , t f t r \ r '

f,'r, r,ari'

;.t.:1 :t:..jo uU :-& t, G .,- .r,-pp J l, ub ;r r.,,s-t

t t -_it-# ,.'st-\ls;rll, e .,.rr..i_ 7r.a .c*l ,ta rf * b,,r.r,Str ,:i :,a b + b a . \ o o , + b i . l o b + G .$ . )L t r . . -&L

.+i .,1+ .er,1 olLl .5,- L l, ,|5; rr c.-L- -f

v

F-- 7r

v " o )- \.''.;

ht,

t\

^124 ; =rr 1".,,, ) .2,'t /i c.rt )"€. E *rtcyr, ,.tii;?;) .).^-ttt t.r.),eternr<, 1.s,, fi "* th(frt'\ r l

\ . A , l v . t f . \ Y 0 , . . . , n w

(a+r)(a+y).nY+?a+'l1a-uy1a-u1=Jiith;,;iil;f,l?'!t*(a+bxa-t)= qr- br $+y) (x+y)=xY+ YU+Jt (t'-rrxt*-t y)= f xf - t Yrl +!

,,,-At= rd g = a h^ 4',(x+b)D= -J--

a 4 b

l1 1l ol.-.rf .-*l ':J ,:L o* ,rN,>1j,,,11, ar 6rn ,;to,i.1t+r 6;ti;t, -O

: ' o , ').) --2 *P e)r . , _ / , "

.+i l*- . , I ^

u t ) t l q a (b+c)=ab+c ( . i J l -n ' { o -b+sa

i - J r, ( Vl g; :-^ty rx + yy - (yx 1) = yx + ty-yx-y = r y e.c2:Arx+! -yx+y

> i c l - - * - t - < t < Y - '.):-i,.5* ct:L;6 ,Ji- t o:r \-f : r/

b c d

a ( b - r c * d ) : q b + a c * q d

i,z*Y-,

s-- rv a=zg

h

Page 6: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

F,C(:L- " Ai),V r.8,1 +ro ffU .pf, .r..rc 1.r l1 \s)r)) )re

,.*sf a* uL . rJ.r, 6.- o.,L $b r.r L r, j,i, .r' @ lL.,rcoiL

.r.*.r: l: C*-L &l: .r.r.c L_ a5 ,a;.; 1., O*L .p

v,.9rrr, -lW +.rsi: v x (-r) = -t \ ", urrr-, -& -+ o751/ :

f , a.,rr, -ffi .rri , Fx N--Yo . : 6r1.p '&*,r-. e; :

u, 6r.12e -+ffi +,-rs,-, b x Y = Y b ", o.rr., *#-,r.rt,

,r r.5.rer.1-W -+ ,17112: o tr ,.9..,r, -+*ffiX+ cirr : 0A x o = o

. W- , qdh*.r-J j O.-u 5-: t"-+cr W "r";t,

;" ,g.r:r { l.r ffi .#L .1. ..ra3.7- -Y

. rt5 \f;-, lt ;r1l j u+t-r .,Cr; uL .,e;L

jL.r.rc O.-L -\ .f,-

a + f

. - F e b ) : - A

Q + o : C

l i+(-n)= \

,,u",,,-ffi4@-"-,;, tYxY+ ( -d) ' ^ |

v' o.,[email protected] : I

Vx ( - t )+A = -V+A= |

*, r,,,,-+XWKET$.+".,;, wY x + ( - 5 ) - \ Y x - 6

x',r,1.1e -+W3@-"-. r;, -X + A

*,,5,rrr-+W+4*-t"-ri, I o:(+ Y

: g--x .j Jb.rcL, a-'l; ]t-: *. I, orS ;a.-t 1 $Ls ; ly;, :r-ju_ | t

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OOrUn*r,, .,;,r,6r*tgi;lr,-r,r,,;.rfff W"YxC-Y )- | = -V .+*\ etr ,.sl.o:.rc ,.rur,,r. 1L:l bi,.iiL y-l

-r----+lTx -Jl-------+ - V

--------+fxa+l=l

Y f ? A \ " n

J l + r J " t*x yx\ / yxy 2 txiryxJf;- lx-b Ynqs, ,

)baAA (rs*run) _!n o,u,4 ctlfVLg:; :xp,2'|

: .rd I l, Lr;!.r- JE 6bL ,y e x dr,l., e y; 6Lo.Jp- r, ce; ! -Y

Y l \ d-Y | -1

-r | -Y"-y '1-rr

Y=Yx+\ y=Ax y=x-V

i,i.iL 5 l, 626 ,-i,-:, j i ,,-tti s tSre.le g;b;.r 4 q, ! -f

..1,i g,..1- 'llr,r. ;l4l

Y --"--- | xT- i ------t r -v ------+ ix Tl ---> -\ f e 0 -------fiFl------- r . y= &

0 -------- lTFl -------^ J \ \ ------+ m -----+ \ r e -r ------+ i;Yl -. -t fff*Q)\\\..1_-./..../

Jl-i€ | Gi r.ic A ..\.+a1r

t--+l-r* + i-------+ -Yxf+l =-A+l=-Y

f ,;:;;q -- -Vx L+Y= - \'+Y=-Yv - v

Y=Yx-Y

. r l :6L; Y xnJ)re+

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.{^r ,lLii (u! ,rJ :.ro.K- n) Yn or'a* l; 1171,,glat:,c -l

f f A . V " .* . f n

yxyy yXfo ylyc\o Yibooo Y"xlooo

)6yu - , \n!l .r.rr J'J 6"e r# ('\eJJr .1 t Ltr .K (Jt)> 62n J-' (ttb (.rJL.9 )) _l

9Y" lrlk L-Yn c-iyce {,rL 6rrruo CirF- urg:."},aL.eLo.,.,c

L-l .4.0r ;lj ;^; c+b.5br.rc a e m .k j.1r,- 6Vl i 4;b o-21"r.2r -i

Ya Ym ii r.116r.r

'.--l-----', I ,

Y x,) YxV Yxlo tJ''o Yi\", y:o",

l o \L Yo Yo Yo. , \ . ' oo

Yr lo0,cRrn p 'cg*n

fi|qi*i*t

,J,J-f c ' \ x (Yc) =>

&'tn

' ar, g-! 7j,sbJlV,, , t-r$". j:r:.rJ 6l,r.r.ic l.;ceb, a-f

"* !*r,r, ,.rlii l, 6e, uc ".i- Yb or[.r Li-

A !lr- !.:r.r,r. .1.! l, 63, .r.rr ..(- f c c,rk !i-

,^.1. t lr- !*.r,r. ;L; l, 6.9, .r.rc ..i- Yab oyLr L-i -

t .rJ' t;*l 6p t*re Cj) )E p j,?r.&L ti-o

.rii Jt- re l; r:L l.rl ,Jl;-;,,,_l r ,;rb g-L_ ,_SI.,;

Ax'F-=IV-Y le,r I+-=f-eP

A- '& = lYf+ "" ' fo= l l 'o : iY"r .=- iYy

er*/Yob:-.>

d,*

lxY = A

lt 61; tts 5:.c.*l e*1: y! it"+.t -5 obl "15

JL rr e Jti;e.r, rfil.9lr1

CpF+ . fi--i,/ 1., \;L-,r> )-V, tj,s k.," Ym e Yn ozyar,Ymx yn= r 1fr"1 "iy -'--7c--)62,, t3tx..r.rr gij lc*l 6r ) \t$e C, s r yroJ""L f r5,r. +tt.5.eL-i,1l.r;yfu

. -/e r

4 L'C ? )et ! 2r"r, d *K X:.ffi

6:.rc .1i rrc,-5,_.,1: e) rs S"-,-'rlJ.aL d aJ c"l; ,Y! 4li; 0 JIF .u;t]Fll

Y x Y = l A).po' t

e,- , i r . p = Y t t\!.-

V 1 Y " - l L ") ; g g ) ,-_l . ,.,

..4;Jl.l,.u (ull

1i ;.r.c = Ym - 1 : 45 +b.9r,-- ..,r_1""o1 (.,

t j' :ss 2t g) ;s otbJ.aL = ln x (tm-\ ) \t l

- Y { Y n r n - n 7\ ,

r----.a-

+, c-lp;

G:!6'u ,--::-<tlp; Cit tt, Y lro, t ff :,^t* =i? Jo@

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--'--.-,,,i /fu'st (3}.,to'l *tr1;- fr-'M K, J

r -\, . o,.n */rrt \" %l -=-)rt 1 or2t; /cr; 6,-,L -r'$ -- A

\(),//,ll) c)u)4' r-)\ , r - , . ^ J , , - t , / t ' , r " 1 - , . r , t ' 1 , I

?'

"---/

pLcrF ,si p^'---;', sltrdo /Uqh, tLtr J

=^g-L --'-- U .^ol'- kJt? xYrt =fr# $:F F #

:--7 5r*es,px-,-&r-fl \-r- (*) p=Y(ob+#'ffi;:;;"; e's =Y ( lY+,/* til ;i/ !,r.,, rrs # c.-L".,.,;^;L c = Y 5 b = ? 2 a =r Jt :)

' &l, Cr*; ! l_, , -; g,_l n*- .c*l f ;i glj;rl .e Y " ,.g; *ii ;.rcU .-,-L- -y

V= S,^rci ̂X tu,,=>V"-Yo x L.Ao J1o5.4rri,.--ra,br1::.r*-.5r--

+i;r:6,,-l .:.-F-.c*l;;L I uilU;rl j;;L V, f .5lG;;r .5to,.rl,i -r

6+b)$ (+v ) xY rt .z_-, .45.,L,- u;ri c-L- 6r.--iLl.,6p t )1,*.tt

, ; .l-" ; ;--T- = t'

) !lr- !.;r:;.,..a xt = t il,L .*lr x = -Y r x = Y L-i-Y"

Y ui_ rF -

* ! l r- ! ;u.. . .axr=f iLl- i*L,x=-Yex=Y!1-f

'- t 't, ui:trt Jrt .c*t .Jrl lrJ-ll-i y -5., r,-) J_* .e*l; x del .i" Jrt _o

p,,tSJ$:yrc . J . . . . , J . i , ( ' , J -J )e .o4

jtS 7 x 61.21: .J<^: JJa:",, }|U ,i"; '5"_ -f

oL:;6r* o)roal-,,:$ C-lc..-L- .c*l Jp; Yx.1

ic*l g;,.i-r?,:)i;-l*...r*!; 16,..rir,,"1 ;; Jl. a:

S , Y x x r ( - > g = Y z rU=mg .h &l., jl ,r..;.-!.,1.r..r,.i.r.-i J*;b- 6;;teS gJ"r rL- lrl"_or, r,__v _J>

Gt*.t:.c-l r"-/i,-.21h3;,-;.,[;ug,p.-+1::m,.Fh6j1lU,;1.2r5.r,-l.r.c.*r,

c*j vL;) . {5 t-b lr.i stih,glt 2t:J,, 41 \1. v r Lh-)t b dJJ yo

1,.r *.r.-": d

U - Y N x l i x Y = ; i J - - l ' o o ( . J . 5 i j \ . 1

( t 1-O /g,t1 . rrs lr.';E .eLrx.5 ly lr y rl*L .y r x qL { qr l.r -A

-Y

0

_\

Io

Y-l

J -

to

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rf

IY

x 'Y = x * f.# '_f L. liltr $if

Y = - I x + ' \

Page 10: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

\\ '\Yxd - \Y\f rY \YqY

l"al A o-.

J!"/u'/:,t, Ct) t ,rd ut

\YlYxV -.. \Yqfx Y \r\r -1_=r €)%Y,Afa

--'ia

.to.r.r-c ,-,. rjr + F 5-* : ;.u-t-, ,j_t4 \ "S 4J rL- gL.-.r i.;j.r 1.r -\

,:f ,:L12 ,3 "l;u,? \ x Y Iq Yx./ Y

, l\Y

'illuy/- f

-= /---a-;- - -

'n ,YN*Y r

a b + a c = a ( b + c ) ;,f a1;; (.-,. ";1;f,-u)

.4,j-qv,, * l, l.oorlc ,Y! .srLi * .+-r, !yab+ra,bLyab(\+yqbY) x+xy= x (t *J l

..rJ ,rL lr.; ,u:L l, ,,; .gbrJI

16_ rr } / * rro Vxd, V

Ya+ab= "

(f -t b )

oab+Yb= b (*a*l" )

:c;1 ozl*r r1 ! y,o.p oy,.a* altC,o \ S* rSl,rork;l ,r;+ -l

a(b+c) = a!sa6 6r.x7;; ==..1 ,/ ,/

e. tc U)1;i(,, o,//./ ) cJz+ 6;; .rb *

lafa/,ns=a(6\b +AC )

far+yab=ya(f0+ b )

i' ifi "r')*=-"i" "',(i ; *i ;.i6frit i \ic ;\ a' t, C.r l+ l, orLr. r; ! 1.l J;;

";jt1 L- .1,1,,6 s u2$ S.- L6, 6lx -t

2xryY+1 lryr=y 1t'xxxxxyxyxy+Yxf xxxxxxxJ:y

=Yxf xxYxyYxy+YxrxxYxyYxx E

t t r P I\ " n r ' r l\ ,t\J !c.-*1 ,3r.1o2t.c iL, rr Jj.t,,l.le .Ytr ,JrL; * .ar ti

\j !.r!,r.c.!Lo.,Lc&l;L-,Jj"LiL- y j.tV +'$ vr\YX lr-r,r.l'Lo;Lc,,:ril.:,J;; 1.? I c.tV+t::j v*\

ixly '+1xryt{4'f 9.fX I .+J}15 lr .e.eL;6sl yL

-2, " ./l

^) -------) tt'

.t

<-;t""/r;

v r l * \ w P /,*3' U+, ) =Yailvy+vx)

Y xf *.X*tx-j| c *j + fxfxtx (xxxJxJ r

t';^; ryltitr. Yx) :YxugY (v1*vx)y , ^ r r+ ] x J -

,O,'C*o> o;4.1 -p ar/lrL ffi^^

-:t,"tJ$r1-";irv @Vr'l

Page 11: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

6 1 b + G c - a b + c ( C = n ( b + c ) t ' o ' b - o € = a b - a c ' q ' ( b - c )

b a b + Ya'bc -b e'b -rYob c = Qr'b (*-r" ) \*U* r * t= -YxYqb lYaa - fa (vb* " )

t+ lry'=v* vzx3+ v{xtl .=]*trp*YJ),' -r " ;rg _y*yY= yayrft*jl'r)

ttzlY- lxSY - Y ̂ Y x'-u - .'j *F \ "j

,J..,,: ,r'ho.,,r.' .)r JrF a a-rr L -y- ab+ac= ( ( o::)

.,,-,

- -:r-;= n U, . i' \ €.,i o"b*rub,= ab ( o r-Yc) rab+rJ= fa (V b * c,, J

,, rJv*i,.vv= f ry(fe*vl ) rxyyv-1;yy= f ^S'(Yz1- r )

.a,5,rL l2,; i . , ,r- e*-V;; ' rVeto"b+lt-J e-i l :ot,- l . l i l -0 ( g' I

+:!=4]4:-1r,r.,,., t= @,=+,,r, *Y;*=V a i (a;r", brc) ;;= r-64 ; hr\,b+")

| , r- _*.4,t -o + LI

. : .

r.:'i:r

-ri,,:::j

!1jjt:)a!:.

:::1:.'I

b + C-# *$qW*s&SSry*J .Jr"+ vr- t lr; .9borLr. -\

xxY"-1xy"= Y*("-Y tlxyt-roxyyY= Vit

ylxrv-r1xr= v* (r!-t' 1

a'b'-a'br ^vSr (6---YT ab

P-< Yr "a rJ JJ (, err,JY, _ | \

nxyt-roxvyY=V *J' (YJ-d* )

-a,+rar= / (-f *yo){alb,ab*.} .$,:J*l;aS 7V. eoye,9r,a a; f,2,4L.-1

, / t - Yarb_abt ab (91--V1 \

, J rd^*l rljJ ,_2!e.a -a-b = -(a+b) ,s.rL- L-l-Y

$f€ e) 6)ts6!:.ts t 73"a.l.r- -f:: i - \l 4

erj r.t; : [n ]:6:j rr : Ym: - v - - . v . . v / . ^ \ - \ a -

ei,.:'rLtA,-, Yn+Ym =Y (n1rn ) :) <:-J89/

a6r .,cl. ..c( , c / .. t _L dt!--lK l 1 * Y - Y x Y = Y ( x - Y l v . \

r.r'y{to' $Y =" v rv * ̂ . g!;y - o u1 * :^ "gt= vrg' (' y - ox )

,^-7'-v\,vz = vlve- r\'i '= vKlvt- v" 7- J-YJ:6,)xJ+rdYxct -- ul- r*rt)

- '-' Vtc ;t

Page 12: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

1rlr"r,^)^z

(a+b)r: **bo-t- t oyb' * y abv+ dbr ,.:,^-r f lt /on, i)t; €

(n* u f: uob'u- ro-rb'* ?uobv* ro'6P* ;6f

( ̂ . s\o- oob'+ aafbrl l, ovbt* l.uvd+ aobl dbo

I " - ti : ;b'+ vqabr+ t n c.'{ bv* v" dbl r o otun* z* b1- d bt

t\2 dt

tt3 65' --->r) t rt tt

x '= 7 XX

't, ,-**t-r,.i.r*-lYx= Y XX

nt=n*[

..r.--; l, l,o.geL-- ,(r J* .d;i .l;L -l

( -0)Y=-dx GA ar= Q x oL

-aY= A' A (a+u)'=k'D'(c'+b ).+5 ,,|,6 b .e a -iL; .gbJ[L !r! l-1 y_j J:rr -f

\ -Y

Y ; t vt=r i-rtt=r 9'=yv (-r)P

= - t

l + l = f Yao=( "+14 gae=lo l+F=d

saj u, 6la; 9,pi -i1.r, er i--l;,. ;1

(Yx+\)r= € xY+ !X + |

xr=XXXXX

Ptcf Obe (/- uw t

r l r fo + ooJ*toYb*Yo

(^*b7Y1^t+p

*.ru,;ff"Y:W- x r = - 1 . x X ( -x) r= ( - r t )^Gl )

(a-b)'= (a-b)(a-b) (a+uf= (a+b)(a+ b)(a+b) 1v+t1t= 1x+r)(r+r)f - t

\UlZ OtP) Cf-aQ $";o'^'"1"'*l 'ttz '>:zl; 1ls;l) :;*l ba = ab l.r- -Y

))t dQ? -'/ oe f,,Lt.,r;orl.,_t-(a+b)t= - (u+rr) (a+b) : - ar- Ya'b - bY

- {.u) ( a.+bJ c1t" olig.tg-^l-,Et-roy,;r;r,j*. t_i

Q -.. b)r-

Page 13: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

= yn + ym+ r :l (^1J:J),s r <,ttg

t|,u €iu,P"

V t rr Us-tyy , - r (e rn* r )

8, )P

(v r<*r )+ ())-e It

Yt " r )) )rrr9

Y R + Y L + Y- Y ( K t t + r ) -) Y -- ru =>

(r)t C__*tp,

. a5 ,rL l, ; ,5r,- 6ln.,1Lc -t

(a-b)'= crr- va b a bY

I4 ' ) P

i i /t /- )l o & - + b - l t o D * 4 ,

l o a t b - l " b . - a

e a - 1 b * q U - b )it- 671 --=-r,_._^

| " ,C3""" ))-t-a ,v\P:>

4 b- bA - YV=1x ' l ' i

Y Y - Y / - Y A = 1 x N

/ l ) . -

/;'\,, (

f'r")r'; r7Pe.trt-tPq2) ., 1 t'- (ct - o )=. -o.'+ b S,srr. !.*r 6_u = _1u_u1 L,i_t

I -- .-.,I ( : J L \ 4,s \l)- t,} L_ rr-,r, 6_:.t,":\') s5., t 6t; rfi 6,.,r er 13*-, -Y

s.)t-€ G!) 6)Je ..ri -r-tr. 3.r 1.1-.. l.r,- *Y

Y ^(a+Y)r= ct + ?o' 1'{

(x+V)(x-V)- X'- g1 (x+ \ ) r= aY*Y1* ;

ar+br-12-6yt= +Yotb (yx-ty)t= f {-izy +1j

YxY=1 rl.z: 7 s;r;; l-raal;al"-.s,C vr-e r"l,u;; lrr:Jl-\

r. ".'L Ir-/"^' v

(a+b+c)(z+y+x) '= az .* q;J +ax -rbz + b3 +bx * iz -rC + C X

,4\\ *'*"'t 'r:rY.' ' ' :-r.sto,K"1qil ' i-o(--Ujtr) = x :-x'+T_a__V - I - x' -l- .c*l 1 * ,.a. ,,rarIl, ;l ,-t' t tt 2ts a tr;lJ al .qor ;L: -l

i

{

t lc ( l 2 - b a :

\J _ _- _. __/

Page 14: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

,_|,tf 1.2 ,,I.lf 7 ,f- .t, .rl,:J.[- -i!i- 6Lorr.r l; [ 1, ,1,*^,r1 ;r,l;b 114.-

I W \t w r t Iffirrit IffiffiTTil IWwFg,l]TTn/

O+O+l)+(O+l )+(O+r)+

\ \ \ \

Jr l :.tr lji JJ, l:- :'P f.,rQr.r rr'.:J JJ' F.}"b

?

\ Y \ r \ f \ 0

.Vt n; , J l6

;L;i e ,-..r- :rr l1 : r.,-,.,, .ir r 1.1

.$; ,'-r .r.*lr : o4j .pc l-,1

7 d - l o = \ b

d b - . 6 = l {rO-+O[it " =iO

61:L;6b;e.;:r4l; : r,q4i .1. ,l-1

O+f)=ta0O+\"=t0 ..rJu-;;yL,4r ylsrh-t, , ts

a'Q=26- lo =N\ + () - c:\':-N:l[

d.:L .l$;- rpl.l r q.4".ltol.;

(x-y) + (x-\ ) + x + (x+,r) + (x+y) = r0

drl- 'fJ';- r.,r l'2 : c';i Jro l-1

n f- *'T; l.,r'-4,.-er;it5Lr'-l-ol.)':1lJ

itol--o'tr tbt*: (x) tfd,a L rhyu i);e-{,p.'1 a;' r -.+/ er, Q) 99, 4O 1 )rt*1>^ c/:

--::-+rl

Page 15: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

: :J J- g ;t1y4r 11 .rf iLL .r2 .r;iri c;3;L rr;i., ar-r \ +_.r*.. -I

ck*)>v-3p,,;t

Irt=-rrJot or,)-:")r,

l"OQ,*.t,Cr-l 1: r.u6^bj; .:J r.ula a.2 o.y,o4l.144 J-,1, &

o"*Gi-\ rc'-r

0x=P6-\.

61=65-;1= 06 =1 1\'----'0

co"n + l: JX, ,.rln.J;l., ,* ..r+r.r 6:,ar l1 dr[', "|-

,;l , Ytr Jli t o:-" ! -f

| Ox+t "=ro" l- r . l

.L 0x+\ "-\ "=P0-\ "

,, | 0x=00x-- |

i l r rrL;x0x=-x00

x=\ \

lx-Y=x+O

4lx-x=0+f

+ x=^

Yx-\ =x-Y

=>fx -I = -V* |

.+JJ-:*jI(x-\)=f(x+f)

Y r t - Y = Y e + l l =:|

= Y + l f

0 (x-I) = /,

j:l-j;;ld)1-f1=_(1_\)+y

=> I -Yx = -2( +l +l'

6 w l-*-) -Yl+I= l- '

.*5J- l.rr;{J;I".J,U

fx-Y=Yx-\+ox :)f{- Y=-VX- I

--'= fr-/x =Y-l J /'\:2-YY=Y:-'7q19

lx-t(\-xF"

x + f = \ P

l(x-\)=r(\-4

=)Yrt-Y=Y-Ytt

=> Yx +Yn'fi- l'

Yr-Y

: ) -X- Y

=7y,y -Y+Yx -- o

Page 16: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

'/f t*l )-,-)2,,. +,.=:.+- x = -\ 7

,e6 r$ ij . a " g; ; r, 6i;,t, . r; t.;.|- ;.yir.l;1, e, lrr; ;l,L-f i|F. t-S j rc8,r\,.-.lr..,(:<,_q.,.)Srrr.ror( l, Lrjrr;l rl-6rr

",K. 3* , t, ui J" ,1,\ \ 0Y Y ?,<\- . \ \ . ^ 07 X ( - X - - ) = Z X -. Y Y - '

\ \ A?x-x -?x-=?xa

I T ?

\ \ 0- x - * = -Y T ?

'/.rJ*,r) -*",

U/t:b--;re,

"/ r Yx-t =o ts r r . . 1 | | I t f , / ,' '{ll) ''b", "=i=i rx=v a7$Lul.e\s!_

i Yv * = ;

x = -,, | ./ Y ,t.-1r'U/Idru.l )fi* '-;

A;4)' r;-l ,rJ .,8:;t ; ,f v,- st-tt, i r.rc l5,_ t ,

, i-)Pt:,"

..rrr.r 6ir l, ,l 'b:l !c-"1 ':J

--7

-\lYr=l'tb

tt, f , l )

c-2

ncs,.tj #d,=-,.-,K}) =

Y

4t)

vI * - l= l 5rx- r .= lY Y ? r^,.w.z.,t'-.>Y)t=Y -'Vg*)

? Y rf XV\- - x - - = - j : > -Y 0 \ 0 r

=-)-lAX --Yo =. Yoo

:> - lAx = YY s

i=-:L =1

,@,=_,,*,-4)v

x + l x + YY Y

x 7--)

-*) Y1'p Y:d&

Y'xt L W

*\\

tA

Yt-Yx= L-Y

Page 17: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

=Y)((x-r)+ x+(x+t)=rv --.) x=1 --> ;4{'u - x

I Y x - l Y ---) )c-o

@-=-l*

@ ---t-Psv"=x,1"'6

:> C/--X+? t

= x+ (x+l ) .+Yx

- l r + o = \A 7

1*1 I= I * : ) x -

.rJ'pfrr;,gU}ff@o . . v _" .e. , Ay-x--=Y :--\- X = -\ I \ A \ N

tx - I=Ox+y - : - - ; . X : - l tY 1

: S Y = \ l Yg

- t _YC)

\ _ : = _Y T

:) x-- -L-r

1?r,*t)+(x+Y)=YY* x . A

7rt- i , ;1. ! , ,1J.r .1 .ul ; f Y , ,J-L 's,re*r iLbl . r . . rc, ; l r , ,g, t t t 6r ,Jt-?

i+x=YY*| i-*

.rrlr,.lr4 -rl.r.-,r vti t,lr .d*llLe 6tl-,l5 rl.r; r,lr,.pr.r."-.6b,-,L5 rl.u--V

..ur;l;; l.2f u6,,_1,51.r..,151y:.,d.i-.1':dJd"irrk6,-r;Lc.:lr-L!bx,,1.,;*Jl

f : .+,\-,+a-JL.s j l .x.r l . l -_-:t l l . . l l { ; ier.r. ; l . ,JLf 0.e.p1-A

Fd+ x = (1+x) 1(l t+x ) :> (r(;j9 \,"6, rU ostrr o-.oL*L tllll ,r; ,I.lj, L c*l.r,l,, ,i; ,'L;l ,6 rf .r;;rf .rL- ,,jJc ,.1r .;.r -1

rlr,, .i"rL 1tr,, )b, r \ Y ,.r.l ll+l JK Jl . a^a:.r, ,:1.$ w=F.d drLi ! lr d,, tr o,_l

\Y- f *d =--1 d"l t ' ) .+JvLtrol++t+>dd = v;l .+5.,L.- rr.'Y# J- r-:.rto$ * o:-, tr tr L6drL -\ "

ff i ,,*!- Yx-Y Yu -\ o -- Y'{ -Vo'J \.J

:) -J =-- ' /o

---. x Q !) LY =-| ft= ?el/l=-y':.':1,- ;i )tri' -rl i € r-)(9 - r :a 1 ! i : rY (J :

-\ -)( - -V

Page 18: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

l '-

,.::@:..:C Y J,zi )JJ".1.,&l:,}lD

,_, '*-i ,r"r". jl,r""l t ;!,id { 4;^; _r-*, -:;i,,..$;, ;.; d!.:l: ,uzi -:. .)

+LL .Slr.ul^? f

. r ; 5 . L l , ' i , <Lo r l : L - I

Y x - \ = Y ( x - \ )

-'.Yx-Y -

Page 19: tii S- J Jl . c*l JrL- JL ;.r ej | ; +6 a, t f .:l s e rs :.,+:r r;t ; S- a;6 r' J 1dl.nomrebartar.com/8/gambegam/Riazi/gamBegam_8_Riazi_Fsl... · 2020. 10. 23. · .{^r ,lLii (u!

نمره برترN O M R E B A R T A R . C O M

بزرگترین مرجع آموزشی و نمونه سواالت درسی تمامی مقاطع

جزوه های بیشتر (کلیک کنید)  :

| | | جزوه های هشتم | گام به گام رایگان هشتم  | | نمونه سوالات هشتم

جهت دانلود جدید ترین مطالب بر روی پایه خود روی لینک های زیر کلیک کنید.

ابتدایی

اول    دوم    سوم    چهارم   پنجم   ششم  

متوسطه اول

هفتم    هشتم  نهم  

متوسطه دوم

دهم    یازدهم    دوازدهم