Question

Factories
$9(x + y) ^{2} - x ^{2}$
Please answer step wise

Answer 1

9(x+y)² -x²

[3(x+y)]² -x²

[3x+3y]² -x²

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

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

I hope this will help you

-by ABHAY

Answer 2

$hi$
$here's \: your \: answer$
$9 ({x + y})^{2} - {x}^{2}$

We know that,

$( {x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$
$so....$

$9( {x}^{2} + 2xy + {y}^{2} ) - {x}^{2}$

$9 {x}^{2} + 18xy + 9 {y}^{2} - {x}^{2}$

$8x ^{2} + 18xy + 9 {y}^{2}$

$8x^{2}+12xy + 6xy +9{y}^{2}$

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

=(2x + 3y)(4x + 3y)
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Final Answer :
The factorized result of the question is
(2x + 3y)(4x + 3y)
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$hope \: this \: helps....$