CBSE Class 9 Answered
If (x
+ y + z) = 0, then prove that (x3 + y3 + z3)
= 3xyz.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
x+y+z = 0 
x+y = -z
(x+y)3= (-z)3
x3+y3+3xy(x+y)= -z3
x3+y3+3xy(-z)= -z3 [x+y= -z]
x3+y3-3xyz= -z3
x3+y3+z3= 3xyz
Hence, x+y+z= 0 x3+y3+z3= 3xyz
Answered by | 04 Jun, 2014, 03:23: PM
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