Two circles \(C_1\), \(C_2\) with radii 3 and 5 and with centers \(O_1\) and \(O_2\) are tangent to each other.

There is a moving point \(P\) on the circle \(C_2\).

Find the maximum of \(\overrightarrow{O_1P}\cdot\overrightarrow{O_2P}\).

*This problem is a part of <Beginner Vector Geometry> series.*

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