Question

What is the factorization of the expression below?

Answer 1

$\large\red{\sf{4x^{2}-9y^{2}}}$

$\begin{gathered}\\ \sf\longmapsto 2^{2}x^{2}-3^{2}y^{2}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto (2x)^{2}-(3y)^{2}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto ⚘(2x-3y)×(2x+3y)\end{gathered}$

Answer 2

$\sf \longmapsto \: 4x {}^{2} - 9y {}^{2}$

• There are no like terms so we can't simplify it
• Factoring

$\sf \longmapsto(2x+3y)(2x−3y)$

$\boxed{\sf (2x+3y)(2x−3y)}$