Question

Show that
(4/3m-3/4n)²+2mn=16/9m²+9/16n²

Answer 1

Step-by-step explanation:

(4/3m-3/4n)²+2mn=16/9m²+9/16n²

Answer 2

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Show that (4/3m-3/4n)²+2mn=16/9m²+9/16n² ?

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