How to solve

(5-x)(6-5x)(2-x)

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Solution

( 5 - x ) ( 6 - 5x ) ( 2 - x )

= ( 5 - x ) { ( 6 - 5x ) ( 2 - x ) }

= ( 5 - x ) { 6 ( 2 - x ) - 5x ( 2 - x ) }

= ( 5 - x ) { 12 - 6x - 10x + 5x² }

= ( 5 - x ) ( 12 - 16x + 5x² )

= 5 ( 12 - 16x + 5x² ) - x ( 12 - 16x + 5x² )

= 60 - 80x + 25x² - 12x + 16x² - 5x³

= 60 + 41x² - 92x - 5x³

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