You can put this solution on YOUR website! The value of
(x/y – y/x) (y/z – z/y) (z/x – x/z)
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(1/x2 – (1/y2) (1/y2 – 1/z2) (1/z2 – 1/x2)
Is =?
by LCM for numerator and denominator
(x^2 -Y^2/xy)(y^2 -Z^2/yz)(z^2 -X^2/zx)
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(y^2 -X^2/x^2 y^2)(z^2 -y^2/z^2 y^2)(X^2 -Z^2/x^2Z^2)
we know denominator can be multiply by putting it inverse as given below
(x^2 -Y^2/xy)(y^2 X^2/ Y^2 -x^2)(y^2 -Z^2/yz)(Z^2 Y^2/Z^2 -Y^2) (z^2 -X^2/zx)(X^2 Z^2/X^2 -Z^2) by cancelling like terms we will get
(-xy)(-yz)(-zx)
=-x^2 Y^2 Z^2
answer -x^2 Y^2 Z^2
