Special Products Rule 6

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Expand $(a + b)(a^{2} - ab +b^{2})$

**Answer**

$\;\;\;(a + b)(a^{2} - ab +b^{2})$

$=(a + b)((a)^2 - (a)(b) + (b)^2) $

$=(A + B)(A^2 - AB + B^2) \text{ , where } A = a \text{ and } B = b $

$=A^3 + B^3 $

$=(a)^3 + (b)^3 $

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