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

Posted by Naman Khandelwal 8 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Harsh Yadav 8 years, 2 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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CBSE > Class 09 > Mathematics