Factorise:
$(x + 1)^{3} + (x - 1)^{3}$

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Solution

Answer:

$(x + 1)^{3} + (x - 1)^{3} = (x + 1 + x - 1) (x^{2} + 2 x + 1 - x^{2} + 1 + x^{2} - 2 x + 1)$

since $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$

$(x + 1)^{3} + (x - 1)^{3} = (2 x + 1) (x^{2} + 3)$

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