$a^{3} - b^{3}$ factors as

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

Solution

Difference of cubes identity.

Asked in: IMO

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