Question

if X + Y + Z = 0 show that x cube + y cube + Z cube equal to 3 x y z​

Answer 1

To Prove:

x³+y³+z³=3xyz

We know that,

x³+y³+z³-3xyz=(x+y+z)(x²+y²+z²-xy-yz-xy)

But x+y+z=0

»x³+y³+z³-3xyz=0

»x³+y³+z³=3xyz

Hence,proved

Answer 2

Step-by-step explanation:

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