2
If x+y+z= 0, show that x + y + z3 = 3xyz.
Answers
Answered by
0
Step-by-step explanation:
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Answered by
3
Answer:
Given x+y+z=0
⟹x+y=−z
Cubing on both sides
⟹(x+y)
3
=(−z)
3
⟹x
3
+3x
2
y+3xy
2
+y
3
=−z
3
⟹x
3
+y
3
+3xy(x+y)=−z
3
⟹x
3
+y
3
+3xy(−z)+z
3
=0
⟹x
3
+y
3
+z
3
=3xyz
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