Simplify : (5 – x) (6 – 5x) (2 -x). - Vidyadip

Question

Simplify : $(5 – x) (6 – 5x) (2 -x).$

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Answer

$(5 – x) (6 – 5x) (2 -x)$
$[(5 – x) (6 – 5x)] (2 -x)$
$[(5(6 – 5x) − x (6 − 5x)] (2 -x)$
$[30 − 25x − 6x + 5x^2] (2 − x)$
$(5x^2 − 31x + 30) (2 − x)$
$2(5x^2 − 31x + 30) − x (5x^2 − 31x + 30)$
$10x^2 − 62x + 60 − 5x^3 + 31x^2 − 30x$
$−5x^3 + 10x^2 + 31x^2 − 62x − 30x + 60$
$−5x^3+ 41x^2 − 92x + 60$

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