Factorise $a^{3} + b^{3}$.

Factorise $a^{3} + b^{3}$.
  1. $(a + b)(a^{2} - ab + b^{2})$
  2. $(a - b)(a^{2} + ab + b^{2})$
  3. $(a + b)(a^{2} + ab + b^{2})$
  4. $(a + b)^{3}$

Solution

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

Asked in: IMO

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