Question
Factorise : $8 a^3+b^3+12 a^2 b+6 a b^2$
✓
Answer
$8 a^3+b^3+12 a^2 b+6 a b^2$
$=(2 a)^3+(b)^3+3(2 a)(b)(2 a+b)$
$=(2 a+b)^3$
(Using Identity $(a+b)^3=a^3+b^3+3 a b(a+b)$ )
$=(2 a+b)(2 a+b)(2 a+b)$
$=(2 a)^3+(b)^3+3(2 a)(b)(2 a+b)$
$=(2 a+b)^3$
(Using Identity $(a+b)^3=a^3+b^3+3 a b(a+b)$ )
$=(2 a+b)(2 a+b)(2 a+b)$
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