Factorise: m^2+2 m^2 n^2+n^4 - Vidyadip

Question

Factorise:
$m^2+2 m^2 n^2+n^4$

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Answer

$m^2+2 m^2 n^2+n^4$
$=\left(m^2\right)^2+2 m^2 n^2+\left(n^2\right)^2$
$=\left(m^2+n^2\right)^2$
$\left\{\because a^2+2 a b+b^2=(a+b)^2\right\}$

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