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If x+y+z=0, show that x^3+y^3+z^3=3xyz
Asked by kowshik.nkl | 16 Oct, 2018, 08:18: AM
answered-by-expert Expert Answer
If x+y+z=0, show that x^3+y^3+z^3=3xyz
 
Given that :
x + y + z = 0 ......(1)
 
We know that,
x3 + y3 + z3 - 3xyz =(x + y + z)(x2 + y2 + z2 - xy - yz - zx) ..(2)
 
Substituting the value of (1) in (2), we get
x3 + y3 + z3 - 3xyz = 0
x3 + y3 + z3 = 3xyz 
       
Answered by Yasmeen Khan | 16 Oct, 2018, 11:56: AM

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