If x + y + z = 0 , show that x cube + y cube + z cube = 3xyz
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Step-by-step explanation:
there is a identity i.e
x³+y³+z³-3xyz=(x+y+z)(x²+y²+z²-xy-yz-zx)
x³+y³+z³-3xyz=(0)(x²+y²+z²-xy-yz-zx)
x³+y³+z³-3xyz=0
x³+y³+z³=3xyz
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