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$\prod_{m=4}^{4^2} \dfrac{\big(m^2-1^2\big)\big(m^2-2^2\big)}{m^2\big(m^2-3^2\big)}$

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

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