Question
Simplify:
$\left(m^2-n^2 m\right)^2+2 m^3 n^2$
$\left(m^2-n^2 m\right)^2+2 m^3 n^2$
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Answer
To simplify, we will proceed as follows:
$\left(m^2-n^2 m\right)^2+2 m^3 n^2$
$=(m 2)^2+(n 2 m)^2\left[\because(a+b)(a-b)=a^2-b^2\right]$
$=m^4+n^4 m^2$
$\left(m^2-n^2 m\right)^2+2 m^3 n^2$
$=(m 2)^2+(n 2 m)^2\left[\because(a+b)(a-b)=a^2-b^2\right]$
$=m^4+n^4 m^2$
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