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Algebra Level 3

m = 4 4 2 ( m 2 1 2 ) ( m 2 2 2 ) m 2 ( m 2 3 2 ) \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 A B \frac AB , where A A and B B are coprime positive integers, find A B A-B .


The answer is 767.

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1 solution

Abhi Kumbale
Jan 24, 2016

Thank you!!!!

Pi Han Goh - 5 years, 4 months ago

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