An algebra problem by Akshat Sharda

Algebra Level 5

Let \(P(x)=\dfrac{x^2+45x+450}{x+3}\).

Suppose the local minimum value of \(P(x)\) is \(A\) and the value of \(x\) at which \(P(x)\) is a local minimum is \(B\).

Find \(A+B\).

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