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7 March, 13:44

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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Answers (2)
  1. 7 March, 14:26
    0
    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

    Remember whatever you do on one side you have to do the other.

    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)
  2. 7 March, 15:51
    0
    9x^2-4y^2

    (3x-2y) (3x+2y)

    Choice C
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