|| Factorization ||

Difference and sum of cubes

Exercises

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

1- Decompose the following expression into factors:
A3-64
(A-4)(A2-4A+16) (A-4)(A2+4A+16) (A+4)(A2-4A+16)
     


2- Decompose the following expression into factors:
x3-8y3
(x-2y)(x2-xy+y2) (x+2y)(x2-2xy+4y2) (x-2y)(x2+2xy+4y2)
     


3- Decompose the following expression into factors:
27a3+b3
(3a+b)3 (3a+b)(9a2-6ab+b2) (3a+b)(9a2-3ab+b2)
     


4- Decompose the following expression into factors:
x3-3
This expression can not be decomposed. (x-)(x2+x+2) Neither of these answers is correct.


5- Decompose the following expression into factors:
(a+b)3+(x-y)3

[(a+b)+(x-y)][(a+b)2
-(a+b)(x-y)+(x-y)2]
[(a+b)-(x-y)][(a+b)2
+(a+b)(x-y)+(x-y)2]
Neither of these answers is correct.


6- Decompose the following expression into factors:
m6n3-p3q6

This expression can not be decomposed.
(m2n-pq2)(m4n2+m2npq2+p2q4)
(m2n+pq2)
(m4n2-m2npq2+p2q4)
     


7- Decompose the following expression into factors:
p3- 5

This expression can not be decomposed.
(p - 35)
(p2 + 35p + 352)
(p - 5)
(p2 + 5p + 52)
     


8- Decompose the following expression into factors:
a6-1

(a-1)6
(a+1)(a-1)(a4+a2+1)
(a-1)(a2+a+1)(a+1)(a2-a+1)
     


9- Decompose the following expression into factors:
a9-1
(a3-1)(a6+a3+1) (a-1)(a2+a+1)(a6+a3+1) (a3-1)(a3+a+1)
     


10- Decompose the following expression into factors:
8+(b-2)3

[2+(b-2)]
[4-2(b-2)+(b-2)2]
b[8-2b+(b-2)2]
Neither of these responses is correct.
          




|| Factorization ||