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∏m=442(m2−12)(m2−22)m2(m2−32)\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)} m=4∏42m2(m2−32)(m2−12)(m2−22)
If the value of the product above is equal to AB\frac ABBA, where AAA and BBB are coprime positive integers, find A−BA-BA−B.
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