add the following: p+q-r, p-q+r, pq
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p(p−q),q(q−r),r(r−p)
⇒p(p−q)+q(q−r)+r(r−p)
⇒p2−pq+q2−qr+r2−rp
Thus the sum =p2+q2+r2−pq−qr−pr
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