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Simplify `(p-q)/(p-r) *(q-r)/(q-p) *(r-p)/(r-q)` Please state your workings...

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newstudent2 | eNoter

Posted June 18, 2013 at 1:31 AM via web

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Simplify `(p-q)/(p-r) *(q-r)/(q-p) *(r-p)/(r-q)`

Please state your workings clearly.Thanks

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llltkl | College Teacher | Valedictorian

Posted June 18, 2013 at 3:14 AM (Answer #1)

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To simplify  `(p-q)/(p-r)*(q-r)/(q-p)*(r-p)/(r-q)`   let us take a negative, (-)ve sign common from the denominator because as per the rule of signs when you multiply:1. two positives make a positive, 2. two negatives make a positive, 3.  a negative and a positive make a negative, 4. a positive and a negative make a negative:
So, we get:
`-(p-q)/((r-p))*(q-r)/((p-q))*(r-p)/((q-r))`

Cancelling the like terms from the numerator and denominator

`=-1`

Therefore, the required answer is -1.

 

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