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Question
Simplify : (5 – x) (6 – 5x) (2 -x).
Solution
(5 – x) (6 – 5x) (2 -x)
[(5 – x) (6 – 5x)] (2 -x)
[(5(6 – 5x) − x (6 − 5x)] (2 -x)
[30 − 25x − 6x + 5x2] (2 − x)
(5x2 − 31x + 30) (2 − x)
2(5x2 − 31x + 30) − x (5x2 − 31x + 30)
10x2 − 62x + 60 − 5x3 + 31x2 − 30x
−5x3 + 10x2 + 31x2 − 62x − 30x + 60
−5x3 + 41x2 − 92x + 60
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