if x+y+z=0,show that x^3+y^3+z^3=3xyz
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HI______
GIVEN,
X+Y+Z=0
cubing both side
(X+Y+Z)^3=0
=> X^3+Y^3+Z^3-3XY=0( using formula)
=>X^3+Y^3+Z^3=3XYZ
PROVED
____________
_____________
GIVEN,
X+Y+Z=0
cubing both side
(X+Y+Z)^3=0
=> X^3+Y^3+Z^3-3XY=0( using formula)
=>X^3+Y^3+Z^3=3XYZ
PROVED
____________
_____________
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