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

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

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