Question

show that (4/3m-3/4n)+2mn=16/9m square +9/16n square

Answer 1

Ans.

LHS
$= ( \frac{4}{3} m - \frac{3}{4} n) ^{2} + 2mn \\ =( \frac{16}{9} m ^{2} + \frac{9}{16} {n}^{2} - 2mn) + 2mn \\ = \frac{16}{9} {m}^{2} + \frac{9}{16} {n}^{2}$
= RHS (Proved)