Question

factorize: (x^2-3x)(x^2-3x-1)-20​

Answer 1

Hi ,

( x² - 3x ) ( x² - 3x - 1 ) - 20

Let a = x² - 3x ---( 1 )

Now , the expression becomes ,

a( a - 1 ) - 20

= a² - a - 20

= a² - 5a + 4a - 20

= a( a - 5 ) + 4( a - 5 )

= ( a - 5 ) ( a + 4 )

= ( x² - 3x - 5 ) ( x² - 3x + 4 )

[ from ( 1 )

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