B) If x+y+z=0, Show that xcube +ycube +z cube =3xyz
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Answered by
0
Answer:
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Step-by-step explanation:
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Answered by
1
Answer:
x³+y³+z³=3xyz proved
Step-by-step explanation:
We know that,
x³+y³+z³-3xyz= (x+y+z)(x²+y²+z²-xy-yz-zx)
putting x+y+z=0,
x³+ y³+z³-3xyz=(0)(x²+y²+z²-xy-yz-zx)
x³+y³+z³-3xyz=0
Now,
x³+y³+z³=3xyz
hence proved
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