Question

(x+8)²-(2x-3)², Factorize the given equation.

Answer 1

( x + 8 ) ^2 - ( 2x - 3 )^2

(x + 8 + 2x - 3)( x -8 - 2x + 3)

( 3x + 5 ) (-x - 5)

Answer 2

Solution :

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We know the algebraic identity :

m² - n² = ( m + n )( m - n )

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Here ,

( x + 8 )² - ( 2x - 3 )²

= ( x + 8 + 2x - 3 )[ x + 8 - ( 2x - 3 )]

= ( 3x + 5 )( x + 8 - 2x + 3 )

= ( 3x + 5 )( 11 - x )

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