Math, asked by kannan2816, 1 year ago

lf X+y+z=0 show that .
x^3+y^3+z^3=3xyz​

Answers

Answered by brunoconti
1

Answer:

Step-by-step explanation:

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

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Answered by Anonymous
6

HEYA USER ❤️

We know that,

++z³-3xyx=(x+y+z)(++z²-xy-yz-zx)

It is given that,

x+y+z=0

so,

++z²-3xyz=(0)(++z²-xy-yz-zx)

++z³-3xyx=0 ( anything multiplies with zero is zero ).

Hence,

++z³-3xyz=0

++=3xyz

HENCE PROVED✔️✔️

#BE_BRAINLY❣️

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