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

Given:

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

To do:

We have to simplify the given expression.

Solution:

$(5-x) (6-5x) (2-x)=[5 (6 - 5x) -x (6 - 5x)] (2 - x)$

$= [30 - 25x - 6x + 5x^2] (2 - x)$

$= (30 - 31x + 5x^2) (2-x)$

$= 2 (30 - 31x + 5x^2) - x (30 - 31x + 5x^2)$

$= 60 - 62x + 10x^2 - 30x + 3 1x^2 - 5x^3$

$= 60- 62x - 30x + 10x^2 + 31x^2 - 5x^3$

$= 60 - 92x + 41x^2 - 5x^3$

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Updated on: 10-Oct-2022

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