question_answer

Factonse: \[\frac{{{x}^{2}}}{9}-\frac{{{y}^{2}}}{25}\]

Answer:

\[\frac{{{x}^{2}}}{9}-\frac{{{y}^{2}}}{25}={{\left( \frac{x}{3} \right)}^{2}}-{{\left( \frac{y}{5} \right)}^{2}}\] \[=\left( \frac{x}{3}+\frac{y}{5} \right)\left( \frac{x}{3}-\frac{y}{5} \right)\]