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# math fun

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I already know how to solve this one, but I want to see if anyone else can :)

Altitudes $\overline{AP}$ and $\overline{BQ}$ of an acute triangle $\triangle ABC$ intersect at point $H$. If $HP=5$ while $HQ=2$, then calculate $(BP)(PC)-(AQ)(QC)$.

This is from Alcumus

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