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Expand: $ (m+2 n+3 \gamma)^{2} $
Given: $ (m+2 n+3 r)^{2} $
To do: Expand the expression given
Solution:
We will use the identity
$(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$
$ (m+2 n+3r)^{2} $
$(m)^2+(2n)^2+(3r)^2+2.m.2n+2.2n.3r+2.3r.m$
$m^2+4n^2+9 r^2+4mn+12nr+6rm$
Therefore the expansion of $ (m+2 n+3 r)^{2} $ is $m^2+4n^2+9 r^2+4mn+12nr+6rm$
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