Question

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

Answer 1

this can be done by using (a + b + c) cube formula
try to solve it if you cannot solve it put it in the comment I will give full answer

search a + b + c the whole cube Google sir that you will get your answer in quora.com

then use the formula to make a proof complete

the Second form

Regards ,
HARISARAN G

Answer 2

HEY MATE HERE IS YOUR ANSWER

I WILL GIVE YOU AN EXAMPLE OF THIS

QUESTION : FACTORISE: 8x CUBE + Y CUBE + 27z CUBE - 18xyz

I
SOLUTION :
= (2x) cube + y cube + (3z) cube - 3(2x)(y)(3z)
=(2x + y + 3z) [(2x)sq + y sq + (3z)sq - (2x)(y)-(y) (3z)- (2x)(2z)]
= (2x+y3z) (4x sq + y sq +9z sq - 2xy - 3yz -
3xz)

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