Expand each of the following, using suitable identities : $(-2 x+3 y+2 z)^{2}$
Expand each of the following, using suitable identities : $(-2 x+3 y+2 z)^{2}$
$(-2 x+3 y+2 z)^{2}$
Using $(x+y+z)^{2}=x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 z x,$ we have
$(-2 x+3 y+2 z)^{2} =(-2 x)^{2}+(3 y)^{2}+(2 z)^{2}+2(-2 x)(3 y)+2(3 y)(2 z)+2(2 z)(-2 x)$
$=4 x^{2}+9 y^{2}+4 z^{2}-12 x y+12 y z-8 z x $
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