Math, asked by sagarreddy93, 3 months ago

Show that
(6/5m-5/6n)²+4mn=(6/5m+5/6n)​

Answers

Answered by Nivasprk003
1

Step-by-step explanation:

( \frac{6}{5}m -  \frac{5}{6}n) {}^{2} + 4mn \\  =  (\frac{6}{5}m) {}^{2} - 2mn + ( \frac{5}{6}n) {}^{2} + 4mn \\  = ( \frac{6}{5}m) {}^{2} +2mn + ( \frac{5}{6}n) {}^{2} \\  = ( \frac{6}{5}m +  \frac{5}{6}n) {}^{2}

the \: formulas \: used \: here \: are \\ (x + y) {}^{2} = x {}^{2}  + y {}^{2} + 2xy \\ (x - y) {}^{2} = x {}^{2} + y {}^{2} - 2xy

hence \: proved.

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