Question

Factorise : 9x^2 - 4(y + 2x)^2

Answer 1

$9x {}^{2} - 4(y + 2x) {}^{2}$
$(3x) {}^{2} - (2(y + 2x)) {}^{2}$
$(3x + 2(y + 2x)) \times (3x - 2(y + 2x))$
$(3x + 2y + 4x)(3x - 2y - 4x)$
$(7x + 2y)( - x - 2y)$

hope it helps you

Answer 2

The factors of 9x^2 - 4(y + 2x)^2 are (7x + 2y) ( -x -2y)

Given :

The expression 9x^2 - 4(y + 2x)^2

To find :

The factors of the given expression

Solution :

9x^2 - 4(y + 2x)^2

= 9x^2 - (2y + 4x)^2

Applying the formula of a^2 - b^2 = (a+b)(a-b)

= (3x)^2 - (2y + 4x)^2

=(3x + (2y + 4x)) (3x - (2y + 4x))

= (3x + 2y + 4x) (3x-2y-4x)

= (7x + 2y) ( -x -2y)

Hence, the factors of 9x^2 - 4(y + 2x)^2 are (7x + 2y) ( -x -2y)

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