Question

question:-
$using \: identities \: find \: \\ ( \frac{3}{2} m + \frac{2}{3} n) \: ( \frac{3}{2} m - \frac{2}{3} n)$
​

Answer 1

Answer

$( \frac{3}{2} m + \frac{2}{3} n) \: \: ( \frac{3}{2} m - \frac{2}{3} n) \\ = ( \frac{3}{2} m) {}^{2} - ( \frac{2}{3} n) {}^{2} \\ = \frac{9}{4} m {}^{2} - \frac{4}{9} n {}^{2}$

Answer 2

Answer:-

( 23 m+ 32n)

( 23 m− 2 n)

=( 23 m) 2 −( 32 n) 2

= 49 m 2 − 94 n 2