Question

Factorize the following expression: $27x^2-12y^2$

Answer 1

Given: $27x^2-12y^2$

Using $(a^2-b^2)=(a-b)(a+b)$, we get,

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

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

$=3(3x+2y)(3x-2y)$

$\therefore 27x^2-12y^2=3(3x+2y)(3x-2y)$