(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3 - Mathematics

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(2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3

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Solution

Let 2x - 3y = a, 4z - 2x = b, 3y - 4z = c

∴ a + b + c = 2x - 3y + 4z - 2x + 3y - 4z = c 

∵ a + b + c = 0        ∴a3 + b3 + c3  = 3abc

∴ (2x - 3y)3 + (4z - 2x)3 + (3y - 4z )3  = 3(2x - 3y )(4z - 2x)(3y - 4z)

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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 10 | Page 23

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