|| Factorization ||

Common factors

Exercises

For each question, click on the box corresponding to your answer, and then click on the 'Submit Answer' button.

For each of the following questions perform either a simple common factorization or a double common factorization, as required in each case.

1- 2ax + 2ay2 + 2a
2a(x + y2 + 1) 2a(x + y2) Neither of these answers is correct.


2- Isolate the common factors.
a2b - ab2 + a2b2
ab(a-b+ab) ab(a+b+ab) Neither of these answers is correct.


3- Isolate the common factors in the following expression:
5x(m+n)2 - 7y(m+n)3

(m+n)2 (5x - 7y(m+n))
(m+n)2 (5x - 7ym - 7yn)		 Neither of these answers is correct.


4- Isolate the common factors in the following expression:
a3b2c4 - a2b2c5 + a2b2c2
a2b2c2(ac2-c3+1) a2b2c2(ac2-c3) Neither of these answers is correct.


5- Isolate the common factors in the following expression:
(5+m-n)(x+y) - (m-n)(x+y) + 6(x+y)
11(x+y) (x+y)(11-2n) (x+y)[(5+m-n)-(m-n)+6]
     


6- Isolate out the common factors in the following expression:
ap + aq - bp -bq
a(p+q)-b(p+q) a(p+q)-b(p-q) (p+q)(a-b)
     


7- Isolate the common factors in the following expression:
6x3 + 12x2y + x2y2 + 2xy3

x(6x2+12xy+xy2+2y3)
x(x+2y)(6x+y2)
(x+2y)(6x2+xy2)
6x2(x+2y)+xy2(x+2y)
     


8- Isolate the common factors in the following expression:
4x2 - 4xy +2xy -2y2

2(x-y)(2x+y)
(x-y)(4x+2y)
2x(2x-2y+y) - 2y2
4x(x-y) + 2y(x-y)
     


9- Isolate the common factors in the following expression:
x(x-3)2 - 3(x-3)2
(x-3)2(x-3) (x-3)3 Neither of these answers is correct.
     


10- Bring out the common factors in the following expression:
amx+amy+bmx+bmy+anx+any+bnx+bny

(mx+my)(a+b)+(nx+ny)(a+b)
m(x+y)(a+b)+n(x+y)(a+b)
(x+y)(a+b)(m+n)
          




|| Factorization ||