Question

The factors of 25x^2 – 9(x – 2y)^2 is/are
[pls answer]​

Answer 1

Answer:

Now,

25 (x + y)² - 36 (x - 2y)²

= {5 (x + y)}² - {6 (x - 2y)}²

= (5x + 5y)² - (6x - 12y)²

= (5x + 5y + 6x - 12y) (5x + 5y - 6x + 12y),

using the identity

a² - b² = (a + b) (a - b)

= (11x - 7y) (17y - x),

which is the required factorization.

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