Simplify : (5 – X) (6 – 5x) (2 -x). - Mathematics

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Sum

Simplify : (5 – x) (6 – 5x) (2 -x).

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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

Concept: Multiplying a Polynomial by a Polynomial
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Chapter 11: Algebraic Expressions - Exercise 11 (C) [Page 143]

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Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 15 | Page 143
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