if pqr 1 then p q q r r p, Surds and Indices, General Mathematics

Question:If pqr = 1 then,`(1/(1 + p + q^-1) + 1/(1 + q + r^ -1) + 1/(1 + r + p^-1)) = ?`

A `0` 
B `1/pq` 
C `pq` 
D `1`

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+ AnswerD

+ ExplanationGiven Exp.`q/(q + pq + 1) + r/(r + qr + 1) + p/(p + pr 1)`

             `= q/(q + pq + 1) + 1/(1 + q + pq) + pq/(pq + 1 q) [:. r = 1/pq]`

            `= (q + 1 + pq)/(q + 1 + pq)`

            `= 1`

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