Question

36z²-(x+2y)², Factorize the given equation.

Answer 1

$36 {z}^{2} - (x + 2y) {}^{2} \\ (6z) {}^{2} - (x + 2y) {}^{2} \\ (6z - x - 2y)(6z + x + 2y)$
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Answer 2

Answer:

( 6z + x + 2y )( 6z - x - 2y )

Step-by-step explanation:

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We know the algebraic identity:

m² - n² = ( m + n )( m - n )

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Here ,

36z² - ( x + 2y )²

= ( 6z )² - ( x + 2y )²

= [ 6z + ( x + 2y )][ 6z - ( x + 2y )]

= ( 6z + x + 2y )( 6z - x - 2y )

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