Factorise:-
$8 a^{3} + b^{3} + 12 a^{2} b + 6 a^{2} b$

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Solution

$8 a^{3} + b^{3} + 12 a^{2} b + 6 a b^{2}$
$= {(2 a)}^{3} + {(b)}^{3} + 6 a b (2 a + b)$
$= {(2 a)}^{3} + {(b)}^{3} + 3 \times 2 a \times b (2 a + b)$
$= {(2 a + b)}^{3}$

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