Question

any math expert here

Answer 1

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hey your answer
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Answer 2

In this question formula [a +b +c - 3abc = (a+b+c)(a +b +c - ab-bc-ca)] is used.
LHS part
(x+y) + (y+z) + (z+x) - 3(x+y)(y+z)(z+x)
=(x+y + y+z + z+x){(x+y) + (y+z) + (z+x) - (x+y)(y+z) - (y+z)(z+x) - (z+x)(x+y)}
=2(x+y+z){x +y +2xy + y +z +2yz + z +x +2xz - xy-y -xz-yz - yz-xy-z -xz - xz-x -yz-xy}
=2(x+y+z)(x + y + z - xy - yz- zx)
2(x + y + z - 3xyz)
=RHS part
Proved

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