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Algebra> if a=xy^p-1 , b=xy^q-1 and c=xy^r-1, prov...

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if a=xy^p-1 , b=xy^q-1 and c=xy^r-1, prove that a^q-r b^r-p c^p-q = 1

harshita , 7 Years ago

Grade 9

2 Answers

Deepak Kumar Shringi

Last Activity: 7 Years ago

is it power of xy or power of y only..kindly upload a image that will be more helpful

Arun

Last Activity: 7 Years ago

hence proved $LHS = x^{0}y^{pq-pr-q+r+qr-pq-r+p+pr-qr-p+q} = x^0y^0 = 1 = RHS$ $LHS = x^{q-r+r-p+p-q}y^{(p-1)(q-r) + (q-1)(r-p) + (r-1)(p-q)}$ so to do that just substitute the values of a b and cwe get $a^{q-r}b^{r-p}c^{p-q} = 1$ you would have to prove

Regards

Arun (askIITians forum expert)

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