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Question

If a=xyp1,b=xyq1 and c=xyr1, prove that aqrbrpcpq=1

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Solution

Given:
a=xyp1,b=xyq1 and c=xyr1,

LHS =aqrbrpcpq

=(xyp1)qr(xyq1)rp(xyr1)pq
=xqr+rp+pqyqp+rqpr+qr+pqpr+pr+qpqr
=x0y0=1

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