Ans the question number 12
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Step-by-step explanation:
LHS=x+y+z/2[(x-y)^2+(y-z)^2+(z-x)
=x+y+z/2[x^2-2xy+y^2+y^2-2yz+z^2+z^2-2zx+x^2]
=x+y+z[x^2-xy+y^2-yz+z^2-zx]
=x^3-x^2y+xy^2-xyz+xz^2-x^2z+yx^2-xy^2+y^3-y^2z+yz^2-yxz+zx^2-zxy+zy^2-yz^2+z^3-xz^2
=x^3+y^3+z^3-3xyz=RHS
hence verified
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