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Verify that x³+y³+z³-3xyz = ½(x+y+z)[(x-y)²+(y-z)²+(z-x)²]

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Verify that x³+y³+z³-3xyz = ½(x+y+z)[(x-y)²+(y-z)²+(z-x)²]

Posted by Kritika Mittal 3 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Divakar Jha 3 years, 6 months ago

Solving RHS ½(x+y+z)[(x²+y² -2xy+y²+z²-2yz+z²+x²-2zx] ½(x+y+z)[2x²+2y²+2z²-2xy-2yz-2xz] ½*2(x²+y²+z²-xy-yz-xz)(x+y+z) (x+y+z)(x²+y²+z²-xy-yz-xz) =LHS Hope this would help;)

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CBSE > Class 09 > Mathematics