Factorise:

$a - b - a^{3} + b^{3}$

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Solution

$a - b - a^{3} + b^{3} \Rightarrow a - b - (a^{3} - b^{3}) \Rightarrow a - b - (a - b) (a^{2} + a b + b^{2}) \Rightarrow (a - b) (1 - a^{2} - a b - b^{2})$

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