Question

If x+y+z=0 then x³+y³+z³ is Equal to *
3xyz
-3xyz
xy
-2xy​

Answer 1

Step-by-step explanation:

Given x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) ³=(−z) ³

⟹x ³+y ³+3x ² y+3xy² =−z ³

⟹x ³+y ³+3xy(x+y)=−z ³

⟹x ³+y³ +3xy(−z)=−z³

⟹x ³+y ³ −3xyz=−z³

⟹x ³ +y ³ +z ³=3xyz