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Question

If (x2+y2+z2)=(xy+yz+zx), what is the value of x3+y3+z3?


A

3xyz

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B

3xyz

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C

2xyz

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D

2xyz

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Solution

The correct option is A

3xyz


We know that

x3+y3+z33xyz=(x+y+z)(x2+y2+z2xyyzzx)(1)

According to question, (x2+y2+z2)=(xy+yz+zx).
RHS will be zero in equation (1)

So,x3+y3+z3=3xyz


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