if p+1/q=1 and q+1/r=1 then find the value of pqr

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If \( p q r=1 \), show that \( \frac{1}{1+p+q^{-1}}+\frac{1}{1+q+r^{-1}}+\frac{1}{1+r+p^{-1}}=1 \). If \( p q r=1 \), show that \( \frac{1}{1+p+q^{-1}}+\frac{1}{1+q+r^{-1}}+\frac{1}{1+r+p^{-1}}=1 \).
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