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Simplify: (5a + 5b – C) (2b – 3c) - Mathematics

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Question

Simplify: (5a + 5b – c) (2b – 3c)

Sum

Solution

(5a + 5b - c) (2b - 3c)

= 5a (2b - 3c) + 5b (2b - 3c) - c (2b - 3c)

= 10ab - 15ac + 10b(1+1) - 15bc - 2bc + 3c(1+1)

= 10ab - 15ac + 10b2 - 17bc + 3c2

Hence, (5a + 5b - c) (2b - 3c)

= 10ab - 15ac + 10b2 - 17bc + 3c2

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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 [English] Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 3.3 | Page 143
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