Simplifying an Expression
Source:
June 13, 2009
Problem Statement
Of the following expressions the one equal to \frac{a^{\minus{}1}b^{\minus{}1}}{a^{\minus{}3} \minus{} b^{\minus{}3}} is:
(A)\ \frac{a^2b^2}{b^2 \minus{} a^2}\qquad
(B)\ \frac{a^2b^2}{b^3 \minus{} a^3}\qquad
(C)\ \frac{ab}{b^3 \minus{} a^3}\qquad
(D)\ \frac{a^3 \minus{} b^3}{ab}\qquad
(E)\ \frac{a^2b^2}{a \minus{} b}