This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
1. PRODUCTO DE DOS BINOMIOS DE LA FORMA (x+a) (x+b)
a) (ax+1
- 6) (ax+1
- 5)
=a2x+2
+ 30 - 6a x+1
- 5a x+1
=a2x+2
- 11a x+1
+ 30
2. EL CUADRADO DE UN MULTINOMIO
b) (2x3
- x2
+ 4x - 3)2
= (2x
3)
2 + (-x
2)
2 + (4x)
2 + (-3)
2 + 2(2x
3) (-x
2) + 2(2x
3) (4x) + 2(2x
3) (-3)
+ 2(-x2) (4x) + 2(-x
2) (-3)
+ 2(4x) (-3)
= 4x6
+ x4 +16x
2 + 9 – 4x
5 +16x
4 -12x
3 – 8x
3 + 6x
2 -24x
= 4x6 - 4x
5 +17x
4 - 20x
3 + 22x
2 – 24x +9
3. FACTORAR O DESCOMPONER EN DOS FACTORES
c) 24a2xy
2 - 36x
2y
4
=6xy
2 (4a
2 -6xy
2)
d) (a+3) (a+1) – 4 (a+1)
(a + 3) (a + 1) = (a + 3) 4(a + 1) = -4
(a + 1) (a + 1)
= (a + 1) (a + 3 – 4)
= (a + 1) (a – 1)
e) a2b
3 – n
4 + a
2b
3x
2 – n
4x
2 – 3a
2b
3x + 3n
4x
= ( a2b
3 + a
2b
3x
2 – 3a
2b
3x) (– n
4 – n
4x
2 + 3n
4x)
= a2b
3 (1 + x
2 - 3x) – n
4 (1 + x
2 – 3x)
= (1 + x2
- 3x) (a2b
3 – n
4 )
4. FACTORAR UN TRINOMIO CUADRADO PERFECTO
f) 1 + 25x4
- x2
25 36 3
= 25x4
- x2 + 1
36 3 25
= (5 x2
- 1)2
6 5
5. DIFERENCIA DE CUADRADOS
g) x2
- y2z
4
100 81
=( x + yz2) (x - yz
2)
10 9 10 9
6. TRINOMIO CUADRADO PERFECTO POR ADICIÓN Y SUSTRACCIÓN