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Question

Let x+y+z=0 then the value of x3+y3+z3=?

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Solution

Given,
x+y+z=0
or, x+y=z ……..(1)
cubing both sides we get,
(x+y)3=z3
or, x3+y3+3xy(x+y)=z3
or, x3+y33xyz=z3 [using (1)]
or, x3+y3+z3=3xyz.

1180395_1195788_ans_31c0abb58f394f02a5ddb79299d22bbb.jpg

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