p:q is the subduplicate ratio of p-x^2:q-x^2,x^2 is
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p-x^2:q-x^2 is the duplicate ratio of p:q
then p-x^2:q-x^2 = p^2/q^2
(p-x^2)q^2=(q-x^2)p^2
pq^2-x^2q^2=qp^2-x^2p^2
pq^2-qp^2=x^2q^2-x^2p^2
pq^2-qp^2/q^2-p^2=x^2
pq(q-p)/(q-p)(q+p)=x^2
pq/(q+p)=x^2
hope it will help you..
then p-x^2:q-x^2 = p^2/q^2
(p-x^2)q^2=(q-x^2)p^2
pq^2-x^2q^2=qp^2-x^2p^2
pq^2-qp^2=x^2q^2-x^2p^2
pq^2-qp^2/q^2-p^2=x^2
pq(q-p)/(q-p)(q+p)=x^2
pq/(q+p)=x^2
hope it will help you..
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