Question

Simplify $\frac{x^2}{9}-\frac{y^2}{4}$

Answer 1

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