MathDB

30

Part of 1958 AMC 12/AHSME

Problems(1)

Algebraic Manipulations

Source:

6/13/2009
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