Question

Factorise:
$24\sqrt{3}{x}^3-125y^3$

Answer 1

$24{\sqrt{3x}}^3-125y^3$

$=(2\sqrt{3x}{)}^3-(5y{)}^3$

$=(2\sqrt{3x}-5y)\left(\right(2\sqrt{3x}{)}^2+(5y{)}^2+2\sqrt{3x}5y)$

$=(2\sqrt{3x}-5y)[12x^2+25y^2+10\sqrt{3}xy]$