Question

(x²- 9)(x²- 81)/ (x + 9)(x-3)

Answer 1

Heya!!

Here's your answer

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( x^2 - 9 ) ( x^2 - 81 ) / ( x + 9 ) ( x - 3 )

= { ( x )^2 - ( 3 )^2 } { ( x )^2 - ( 9 )^2 } / ( x + 9 ) ( x - 3 )

[ • ( a )^2 - ( b )^2 = ( a + b ) ( a - b ) → Using this identity ]

= ( x + 3 ) ( x - 3 ) ( x + 9 ) ( x - 9 ) / ( x + 9 ) ( x - 3 )

= ( x + 3 ) ( x - 9 )

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

= x^2 - 9x + 3x - 27

= x^2 - 6x - 27.

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Hope it helps you dear! :)

★ Devil king