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AHSME 1951 Problem 40

    ((x+1)2(x2−x+1)2(x3+1)2)2⋅((x−1)2(x2+x+1)2(x3−1)2)2\left(\frac{(x+1)^{2}(x^{2}-x+1)^{2}}{(x^{3}+1)^{2}}\right)^{2}\cdot\left(\frac{(x-1)^{2}(x^{2}+x+1)^{2}}{(x^{3}-1)^{2}}\right)^{2} equals: (A) (x+1)4(B) (x3+1)4(C) 1(D) [(x3+1)(x3−1)]2\textbf{(A)}\ (x+1)^{4} \textbf{(B)}\ (x^{3}+1)^{4} \textbf{(C)}\ 1 \textbf{(D)}\ [(x^{3}+1)(x^{3}-1)]^{2} (E) [(x3−1)2]2\textbf{(E)}\ [(x^{3}-1)^{2}]^{2}

    Dataset text NuminaMath-1.5. Quoted with source.

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