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Factors of Algebraic Expressions and Factorisation

Factorize the...

Question

Factorize the following:
9x²y + 3axy

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Solution

$T h e g r e a t e s t c o m m o n f a c t o r o f t h e t e r m s 9 x^{2} y a n d 3 a x y o f t h e e x p r e s s i o n 9 x^{2} y + 3 a x y i s 3 x y . A l s o, w e c a n w r i t e 9 x^{2} y = 3 x y \times 3 x a n d 3 a x y = 3 x y \times a . ∴ 9 x^{2} y + 3 a x y = 3 x y \times 3 x + 3 x y \times a = 3 x y (3 x + a)$

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Factors of Algebraic Expressions and Factorisation

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