Question

Factorize : $\frac{36m^2}{289}-81$

Answer 1

$\begin{array}{c}Wehave\\ \frac{36m^2}{289}-81\\ ={\left(\frac{6m}{17}\right)}^2-{\left(9\right)}^2\\ =\left(\frac{6m}{17}+9\right)\left(\frac{6m}{17}-9\right)\\ =\left(\frac{6m+153}{17}\right)\left(\frac{6m-153}{17}\right)\\ Whichistherequiredanswer.\end{array}$