Question
Factorise:
$8 x^2 y^3-x^5$
$8 x^2 y^3-x^5$
✓
Answer
$8 x^2 y^3-x^5$
$=x^2\left(8 y^3-x^3\right)$
$=x^2\left[(2 y)^3-x^3\right]$
$=x^2\left[(2 y-x)\left[(2 y)^2+(2 y)(x)+x^2\right]\right.$
$=x^2(2 y-x)\left(4 y^2+2 x y+x^2\right)$
$=x^2\left(8 y^3-x^3\right)$
$=x^2\left[(2 y)^3-x^3\right]$
$=x^2\left[(2 y-x)\left[(2 y)^2+(2 y)(x)+x^2\right]\right.$
$=x^2(2 y-x)\left(4 y^2+2 x y+x^2\right)$
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