# If X + Y + Z ...

If X + Y + Z is equal to zero show that x cube + y cube + Z cube is equal to 3 x y z

Harsh Yadav 1 year, 5 months ago

We know that x cube + y cube + z cube -3xyz=(x+y+z) (x sq. +Y sq. +Z sq. -xy - YZ -zx) . Now put the value of x+y+ z=0 in the above formula we get x cube +y cubr + z cube -3xyz=0, then x cube + y cube + z cube =3xyz

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