if, x+y+z=0,show that x³+y³+z³=3xyz
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Hi there!
Given :- x + y + z = 0 ,
= x³ + y³ + z³ - 3xyz = ( 0 )
[ Since, x² + y² + z² - xy - yz - zx ]
= x³ + y³ + z³ - 3xyz = 0
= x³ + y³ + z³ = 3xyz
hope it helps! :)
Given :- x + y + z = 0 ,
= x³ + y³ + z³ - 3xyz = ( 0 )
[ Since, x² + y² + z² - xy - yz - zx ]
= x³ + y³ + z³ - 3xyz = 0
= x³ + y³ + z³ = 3xyz
hope it helps! :)
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