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51×3+52×4+53×5+54×6+⋯=AB\large \dfrac{5}{1 \times 3}+\dfrac{5}{2\times 4}+\dfrac{5}{3 \times 5}+\dfrac{5}{4\times 6}+\cdots = \dfrac{A}{B}1×35+2×45+3×55+4×65+⋯=BA
Given that AAA and BBB are coprime positive integers, find A−BA-BA−B.
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