Question

81-(5x-3y)², Factorize the given equation.

Answer 1

$81 - (5x - 3y) {}^{2} \\ {9}^{2} - (5x - 3y) {}^{2} \\ = (9 + 5x - 3y)(9 - 5x + 3y)$
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Answer 2

Answer:

( 9 + 5x - 3y )( 9 - 5x + 3y )

Step-by-step explanation:

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By algebraic identity :

m² - n² = ( m + n )( m - n )

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Here ,

81 - ( 5x - 3y )²

= 9² - ( 5x - 3y )²

= ( 9 + 5x - 3y )[ 9 - ( 5x - 3y )]

= ( 9 + 5x - 3y )( 9 - 5x + 3y )

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