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Algebra Level 3

\[ \large \prod_{m=4}^{4^2} \dfrac{(m^2-1^2)(m^2-2^2)}{m^2(m^2-3^2)} \]

If the value of the product above is equal to \(\dfrac AB\), where \(A\) and \(B\) are coprime positive integers, find \(A-B\).

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