Simplify: (4 m-8 n)^2+(7 m+8 n)^2 - Vidyadip

Question

Simplify:
$(4 m-8 n)^2+(7 m+8 n)^2$

✓

Answer

To simplify, we will proceed as follows:
$(4 m-8 n)^2+(7 m+8 n)^2$
$=2(7 m)^2+2(8 n)^2\left[\because(a+b)(a-b)=a^2-b^2\right]$
$=98 m^2+128 n^2$

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