Question:
Factorise:
m4 + 2m2n2 + n4
Solution:
We have:
$m^{4}+2 m^{2} n^{2}+n^{4}=\left(m^{2}\right)^{2}+2 \times m^{2} \times n^{2}+\left(n^{2}\right)^{2}$
$=\left(m^{2}+n^{2}\right)^{2}$
$\therefore m^{4}+2 m^{2} n^{2}+n^{4}=\left(m^{2}+n^{2}\right)^{2}$
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