(A – 3b)3 + (3b – C)3 + (C – A)3 - Mathematics

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(a – 3b)3 + (3b – c)3 + (c – a)3

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Solution

Let (a - 3b) = x, (3b - c) = y, (c - a ) = z

x + y + z = a - 3b + 3b - c + c - a = 0

∵ x + y + z = 0            ∴x3 + y3 + z3  = 3xyz

∴(a - 3b)3  + (3b - c)3  + (c - a)3  = 3(a - 3b)(3b - c)(c - a)

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.4 [Page 23]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.4 | Q 12 | Page 23

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