Question

Factorise the following.
$48x^2-243y^2$.

Answer 1

$$\begin{array}{c}\left[a^2-h^2=\left(a-b\right)\left(a+b\right)\right]\\ 3\left(16x^2-81y^2\right)\\ 3\{{\left(4x\right)}^2-(9y{)}^2\}\\ 3\left(4x-4y\right)\left(4x+9y\right)\end{array}$$