Large Expression
Source:
February 1, 2009
Problem Statement
\left(\frac {(x \plus{} 1)^2(x^2 \minus{} x \plus{} 1)^2}{(x^3 \plus{} 1)^2}\right)^2 \cdot \left(\frac {(x \minus{} 1)^2(x^2 \plus{} x \plus{} 1)^2}{(x^3 \minus{} 1)^2}\right)^2 equals:
(A)\ (x \plus{} 1)^4 \qquad(B)\ (x^3 \plus{} 1)^4 \qquad(C)\ 1 \qquad(D)\ [(x^3 \plus{} 1)(x^3 \minus{} 1)]^2
(E)\ [(x^3 \minus{} 1)^2]^2