Math, asked by pratibhakumari58, 8 months ago

X + Y + Z is equal to zero then x square by Y Z + Y square by 2 X + Z Square by X y​

Answers

Answered by rameshgunti76
0

X + Y + Z = 0

THEN, X^{3} + Y^{3} + Z^{3} = 3XYZ

   ⇒ \frac{X^{2}}{YZ} + \frac{Y^{2}}{ZX} + \frac{Z^{2}}{XY}

       = \frac{X^{3} + Y^{3} + Z^{3}}{XYZ}

       = \frac{3XYZ}{XYZ}

       = 3

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