if xyz=-1 prove that (1-z-x^-1)^-1+(1-x-y^-1)^-1+(1-y-z^-1)^-1=1
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Given that [math]xyz=1[/math] [math]\implies y ^{-1}=xz[/math] and ... 1/x)^-1. = [(y + xy + 1)/y] -¹ + [(z + yz + 1)/z] -¹ + [(x + zx + 1)/x]^-1) … ..... =y/y+xy+1 + 1/(1+y+xy) +{xy ...
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