If x + y + z = 0, show that r + y 9 + z3 • 3zyz.

Question

Pawan Prajapati · Answer

Consider the identity r3 + y3 + z3 - 3xy:z • = (x + y + z) (x2 + y2 + z2 - xi -Yz -.u) •••(i) If x + y + z = 0, then <x + y + zXr + y2 + z2 - zy o::- yz -.u) = o ;, z3 + y3 + ZS - 3%yz :: 0 [From (i)) r3 + y3 + z3 = 3.zyz.

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If x + y + z = 0, show that r + y 9 + z3 • 3zyz.

If x + y + z = 0, show that r + y 9 + z3 • 3zyz.

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If x + y + z = 0, show that r + y 9 + z3 • 3zyz.

If x + y + z = 0, show that r + y 9 + z3 • 3zyz.

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