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Difference of squares

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:
b2 - a2
(b-a)2 (b+a)(b-a) (a+b)(a-b)
     


2- Decompose the following expression into factors:
9 - x2
(x+3)(x-3) (3-x)2 (3-x)(3+x)


3- Decompose the following expression into factors:
(m2-n2) (p2-q2)
(m-n)2(p-q)2 (m+n)(p+q)(m-n)(p-q) (m+n)(m-n)(p+q)(p-q)


4- Decompose the following expression into factors:
p2-25q2
(p+5q)(p-5q) (p-5q)(p+5q) Neither of these answers is correct.


5- Decompose the following expression into factors:
16y2-36z2
(4y+6z)(4y-6z) (6z+4y)(6z-4y) Neither of these answers is correct.


6- Decompose the following expression into factors:
(2a+b)2-(a+2b)2

[(2a+b)+(a+2b)][(2a+b)-(a+2b)]
3(a+b)(a-b)
3(a+b)(a+3b)
(3a+3b)(a-b)
     


7- Decompose the following expression into factors:
()2 ()2
1 ( + )( - ) Neither of these answers is correct.


8- Decompose the following expression into factors:
2-x2
(4-x)(4+x) (2+x)(2-x) Neither of these answers is correct.


9- Decompose the following expression into factors:
a4-1
(a2+1)(a2-1) (a+1)(a+1)(a+1)(a-1) (a2+1)(a+1)(a-1)
     


10- Decompose the following expression into factors:
x4-y6

(x2+y3)(x2-y3)
(x2+y3)(x+y3)(x-y3)		 Impossible to decompose. None of these responses is correct.
  




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