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Algebraic Identities

Factorise: 3a...

Question

Factorise:
$3 a^{3} b - 243 a b^{3}$

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Solution

$3 a^{3} b - 243 a b^{3} \Rightarrow 3 a b (a^{2} - 81 b^{2}) \Rightarrow 3 a b (a - 9 b) (a + 9 b)$

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\frac{3 a^{3} b - 3 a b^{2}}{a^{2} + a b}

\frac{3 b (a^{2} - b)}{a + b}

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