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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize of the following algebraic expression:
4(x + y)(3a - b) + 6(x + y)(2b - 3a)
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Answer

4(x + y)(3a - b) + 6(x + y)(2b - 3a)
= 2(x + y) [2(3a - b) + 3(2b - b)] [taking (2(x + y)) as the common factor]
= 2(x + y)(6a - 2b + 6b - 9a)
= 2(x - y)(4b - 3a)

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