Factorise:

$3 x^{7} y - 81 x^{4} y^{4}$

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Solution

$G i v e n 3 x^{7} y - 81 x^{4} y^{4} = 3 x^{4} y (x^{3} - 27 y^{3}) = 3 x^{4} y (x^{3} - (3 y)^{3}) U s e (a^{3} - b^{3}) = (a - b) (a^{2} + a b + b^{2}) \Rightarrow 3 x^{4} y (x - 3 y) (x^{2} + 3 x y + 9 y^{2})$

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