Factorise $x^{3} + 1$.

Factorise $x^{3} + 1$.
  1. $(x + 1)(x^{2} - x + 1)$
  2. $(x - 1)(x^{2} + x + 1)$
  3. $(x + 1)^{3}$
  4. $(x + 1)(x - 1)^{2}$

Solution

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

Asked in: MH-SSC-9

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