If x + y + z=0, then x + y +z
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Step-by-step explanation:
In order to prove this ,
Let us use the formula :
x3 + y3 + z3 - 3xyz = ( x + y + z) (x2 + y2 + z2 - xy - yz - xz)
Now let us keep x + y + z = 0
So,
x3 + y3 + z3 - 3xyz = 0
x3 + y3 + z3 = 3xyz
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