if x/y=z/w then the value of x^3-y^3 is
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Answer:
(x/y) = (z/w)
xw = yz
xw - yz = 0
(xw - yz)² = 0
(xw)² + (yz)² = 2xwyz .......................................................(1)
Now, (xy + zw)^2 = (xy)² + (wz)² + 2xwyz
(xy + zw)^2 = (xy)² + (wz)² + (xw)² + (yz)² .......................................................(from 1)
= (y² + w²) (x² + z²)
Please verify the answer and tell me.
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