What is the factorization of the expression below 9x^2-4y^2 A. (3x-2y)(3x-2y) B. (9x-2y)(x+2y) C. (3x-2y)(3x+2y) D. (9x-2y)(x-2y)

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asked Sep 23, 2019 199k views

2 Answers

Loic Verrall · Answer 1 · 2019-09-24T10:23:42+0000

Factors 9x^2-4y^2 :

Rewrite 9x^2 as 3x^2 Hint: because 9/3=3

Rewrite 4y^2 as 2y^2 Hint: because 4/2=2

Then you say: (3x)^2- (2y)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a+b)(a-b) = (3x+2y) (3x−2y)

Multiply 2 by -1 to get:

C. (3x+2y) (3x−2y)