Simplify: (5-x)(6-5x)(2-x)

breedvsr5

breedvsr5

Answered question

2023-03-21

Simplify: (5-x)(6-5x)(2-x)

Answer & Explanation

Mikayla Banks

Mikayla Banks

Beginner2023-03-22Added 7 answers

Given:
( 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
Result:
= 60 + 41x² - 92x - 5x³


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