If x- y- z are in A-P then prove that xy - yz - zx - x2 - z2 - 4xz2

X, y, z are in A.P ⇒ 2y=x+z ∴ xy+yz+zx=x(x+z2)+(x+z2)z+zx =x^2+xz2+xz+z^22+zx =x^2+z^2+4zx2 . ∴ xy+yz+zx=x^2+z^2+4zx2 #160;Hence Prove ...

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Sum of n Terms

If x, y, z ar...

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If x, y, z are in A.P then prove that $x y + y z + z x = \frac{x^{2} + z^{2} + 4 x z}{2}$

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if x²+ y²+ z²- xy+ yz+ zx = 0 then x+y/z is

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