x+y+z=0 then proove that x^2+y^2+z^2=x×y×z
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Step-by-step explanation:
x+y+z = 0 x+y = -z
(x+y)3= (-z)3
x3+y3+3xy(x+y)= -z3
x3+y3+3xy(-z)= -z3 [x+y= -z]
x3+y3-3xyz= -z3
x3+y3+z3= 3xyz
Hence, x+y+z= 0 x3+y3+z3= 3xyz
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