Factorization： Taking Out Common Factors (2)
There are eight multiple-choice questions in this
interactive exercise. Click the letter corresponding
to the answer you choose.
Enter the exercise
1.
What should we put in the space above?
A.
B.
D.
C.
aaa 264 2
a32
32 a
32 2 a
62 a
Correct!
Next question
32264 2 aaaa
WrongWrong ！！
Return
a2 a32 264 aa
Try expanding it
aaaa 32264 2
326 aa
Hint：
2a is the common factor
aaa 264 2 +
aaa 224 2
Try again!
WrongWrong ！！
Return
Try expanding it
a2 62 a
aa 124 2 62264 2 aaaa
326 aa
Hint：
2a is the common factor
aaa 264 2 +
aaa 224 2
Try again!
WrongWrong ！！
Return
Try expanding it
a2 32 2 a
aa 64 3 32264 22 aaaa
326 aa
Hint：
2a is the common factor
aaa 264 2 +
aaa 224 2
Try again!
2.
What should we put in the space above?
A.
B.
D.
C.
x3
x5
3x
xyxyyx 5155 2
xyx 15
Correct!
Next question
35155 2 xxyxyyx
WrongWrong ！！
Return
Try expanding it
xy5 x3
yx215 xxyxyyx 35155 2
xxyyx 55 2 3515 xyxy
Hint：
5xy is the common factor
- xyxyyx 5155 2
Try again!
WrongWrong ！！
Return
Try expanding it
xy5 x5
yx225 xxyxyyx 55155 2
xxyyx 55 2 3515 xyxy
Hint：
5xy is the common factor
- xyxyyx 5155 2
Try again!
WrongWrong！！
Return
Try expanding it
xy5 xyx 15222 755 yxyx
xyxxyxyyx 155155 2
xxyyx 55 2 3515 xyxy
Hint：
5xy is the common factor
- xyxyyx 5155 2
Try again!
3.
What should we put in the space above?
A.
B.
D.
C.
526352 393 bababa
ab3
ab31
aba 3
6391 ba
Correct！
Next question
abbababa 31393 526352
WrongWrong！！
Return
Try expanding it
523 ba ab3639 ba
abbababa 3393 526352
133 5252 baba abbaba 339 5263
Hint：
+
is the common factor523 ba
526352 393 bababa Try again!
WrongWrong！！
Return
Try expanding it
6391 ba 523 ba
11552 273 baba
63526352 91393 babababa
133 5252 baba abbaba 339 5263
Hint：
+
is the common factor523 ba
526352 393 bababa Try again!
WrongWrong ！！
Return
Try expanding it
523 ba aba 36353 93 baba
ababababa 3393 526352
133 5252 baba abbaba 339 5263
Hint：
+
is the common factor523 ba
526352 393 bababa Try again!
4.
What should we put in the space above ？
A.
B.
D.
C.
824328 stst
sts 341
ts 341
st 34
stst 34
Correct！
Next question
stststst 34824328
WrongWrong ！！
Return
Try expanding it
8 sts 341
sts 24328
stsstst 341824328
Hint：
8 is the common factor
-
tt 88
824328 stst +
ss 4832 stst 3824
Try again!
WrongWrong ！！
Return
Try expanding it
8 ts 341
ts 24328
tsstst 341824328
Hint：
8 is the common factor
-
tt 88
824328 stst +
ss 4832 stst 3824
Try again!
WrongWrong ！！
Return
Try expanding it
8 st 34
st 24328
ststst 34824328
Hint：
8 is the common factor
-
tt 88
824328 stst +
ss 4832 stst 3824
Try again!
5.
What should we put in the space above ？
A.
B.
D.
C.
472 dd
477 2 dd
2234 728497 dddd
28492 dd
232 2849 ddd
Correct！
Next question
47728497 22234 dddddd
WrongWrong ！！
Return
27d 477 2 dd
234 284949 ddd
Try expanding it
477728497 22234 dddddd
Hint：
- - 2234 728497 dddd
4728 22 ddddd 7749 23 224 77 ddd
Try again!
27d is the common factor
WrongWrong！！
Return
Try expanding it
27d 28492 dd
234 1963437 ddd 2849728497 22234 dddddd
Hint：
- - 2234 728497 dddd
4728 22 ddddd 7749 23 224 77 ddd
Try again!
27d is the common factor
WrongWrong ！！
Return
Try expanding it
27d 232 2849 ddd
454 1963437 ddd
2322234 2849728497 ddddddd
Hint：
- - 2234 728497 dddd
4728 22 ddddd 7749 23 224 77 ddd
Try again!
27d is the common factor
6.
What should we put in the space above ？
A.
B.
D.
C.
1131 2 rrr
1r
2r
3r
13 r
Correct！
Next question
311131 2 rrrr
21 rr
WrongWrong ！！
Return
Try expanding it 1r 1r
21 r
1)1()1(3)1( 2 rrrr
Hint：
+
111 2 rrr
1131 2 rrr
3113 rr
Try again!
1r is the common factor
WrongWrong ！！
Return
Try expanding it 1r 3r
411 rr
141 2 rr
3)1()1(3)1( 2 rrrr
Hint：
+
111 2 rrr
1131 2 rrr
3113 rr
Try again!
1r is the common factor
WrongWrong ！！
Return
Try expanding it 1r 13 r
213 r
]13)[1()1(3)1( 2 rrrr
Hint：
+
111 2 rrr
1131 2 rrr
3113 rr
Try again!
1r is the common factor
7.
What should we put in the space above ？
A.
B.
D.
C.
223 41612 qpqpqp
43 qp
43 qp
433 qp
qp 33
Correct！
Next question
43341612 23 qpqpqpqp
Hint：
is the common factor 24 qp
- 223 41612 qpqpqp
qpqpqp 3412 23 4416 22 qpqp
Try again!
WrongWrong ！！
Return
Try expanding it
24 qp 43 qp
222 16412 qpqpqqpp
43)(4)(16)(12 223 qpqpqpqp
WrongWrong！！
Return
Try expanding it
24 qp 43 qp
222 16124 qpqpqqpp
43)(4)(16)(12 223 qpqpqpqp
Hint：
is the common factor 24 qp
- 223 41612 qpqpqp
qpqpqp 3412 23 4416 22 qpqp
Try again!
WrongWrong！！
Return
Try expanding it
24 qp qp 33
312 qp
qpqp 34 2
qpqpqpqp 33)(4)(16)(12 223
Hint：
is the common factor 24 qp
- 223 41612 qpqpqp
qpqpqp 3412 23 4416 22 qpqp
Try again!
8.
What should we put in the space above ？
A.
B.
D.
C.
ba23
ba23
ba23
ba23
3433 226 abbaab
Correct！
End
baabbaab 23433 3226
WrongWrong！！
Return
Try expanding it 32ab ba23
433 26 baab
baabbaab 23433 3226
Hint：
is the common factor32ab
baabba 2343 22 326 33 abab
3433 226 abbaab
Try again!
WrongWrong ！！
Return
Try expanding it
32ab ba23
433 26 baab
baabbaab 23433 3226
Hint：
is the common factor32ab
baabba 2343 22 326 33 abab
3433 226 abbaab
Try again!
WrongWrong ！！
Return
Try expanding it 32ab ba23
433 26 baab
baabbaab 23433 3226
Hint：
is the common factor32ab
baabba 2343 22 326 33 abab
3433 226 abbaab
Try again!
End
