Question

(3/2*m - 2/3*n)^2 find the following square using suitable identities​

Answer 1

$\large \dag \: \: \bf { \bigg( \frac{3}{2}m - \frac{2}{3} n \bigg)}^{2}$

• For terms being in form of (a - b)² , then it is expanded as a² - 2ab + b², therefore,

$\huge \dag \: \: \bf \bigg( \frac{3}{2}m - \frac{2}{3} n \bigg)^{2} \\ \\ \\ \to \sf {\bigg( \frac{3}{2}m \bigg)}^{2} + {\bigg( \frac{2}{3} n\bigg)}^{2} - \cancel2\bigg( \frac{\cancel3}{\cancel2} m\bigg)\bigg( \frac{ 2}{\cancel3}n \bigg) \\ \\ \to \sf \red{\frac{ {9m}^{2} }{4} + \frac{ {4n}^{2} }{9} - 2mn}$