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Factorisation Using Algebraic Identities

Factorise: a3...

Question

Factorise:

$a^{3} - 27$

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Solution

$W e k n o w a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2}) a^{3} - 27 = a^{3} - 3^{3} = (a - 3) (a^{2} + 3 a + 3^{2}) = (a - 3) (a^{2} + 3 a + 9)$

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