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