Question
Factorise:
$a^3+0.008$

Answer

$a^3+0.008$
$=(a)^3+(0.2)^3$
$=(a+0.2)\left[(a)^2-a \times 0.2+(0.2)^2\right] \text { Since } a^3+b^3=(a+b)\left(a^2-a \times b+b^2\right)$
$=(a+0.2)\left(a^2-0.2 a+0.04\right)$

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