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Factorization Of Algebraic Expressions [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions [NEW]2 Marks
Question
Factorize the following expressions:
(3x - 2y)3 + (2y - 4z)3 + (4z - 3x)3
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Answer

(3x - 2y)3 + (2y - 4z)3 + (4z - 3x)3
Let (3x - 2y) = a, (2y - 4z) = b, (4z - 3x) = c
$\therefore$ a + b + c = 3x - 2y + 2y - 4z + 4z -3x = 0
$\because$ a + b + c = 0 
$\therefore$ a3 + b3 + c3 + 3abc
$\therefore$ (3x - 2y)3 + (2y - 4z)3 + (4z - 3x)3
= 3(3x - 2y)(2y - 4z)(4z - 3x)

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