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AMC 12 2020b Problem 2

  • Paper

What is the value of the following expression? 1002−72702−112⋅(70−11)(70+11)(100−7)(100+7)\frac{100^2-7^2}{70^2-11^2} \cdot \frac{(70-11)(70+11)}{(100-7)(100+7)}(A) 1(B) 99519950(C) 47804779(D) 108107(E) 8180\textbf{(A) } 1 \textbf{(B) } \frac{9951}{9950} \textbf{(C) } \frac{4780}{4779} \textbf{(D) } \frac{108}{107} \textbf{(E) } \frac{81}{80}

Dataset text AMC 12 2000 to 2025. Quoted with source.

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