Algebraic Manipulations
Source:
June 13, 2009
Problem Statement
If xy \equal{} b and \frac{1}{x^2} \plus{} \frac{1}{y^2} \equal{} a, then (x \plus{} y)^2 equals:
(A)\ (a \plus{} 2b)^2\qquad
(B)\ a^2 \plus{} b^2\qquad
(C)\ b(ab \plus{} 2)\qquad
(D)\ ab(b \plus{} 2)\qquad
(E)\ \frac{1}{a} \plus{} 2b