1958 AHSME Problems/Problem 30

Problem

If $xy \equal{} b$ (Error compiling LaTeX. ! Undefined control sequence.) and $\frac{1}{x^2} \plus{} \frac{1}{y^2} \equal{} a$ (Error compiling LaTeX. ! Undefined control sequence.), then $(x \plus{} y)^2$ (Error compiling LaTeX. ! Undefined control sequence.) equals:

$\textbf{(A)}\ (a \plus{} 2b)^2\qquad \textbf{(B)}\ a^2 \plus{} b^2\qquad \textbf{(C)}\ b(ab \plus{} 2)\qquad \textbf{(D)}\ ab(b \plus{} 2)\qquad \textbf{(E)}\ \frac{1}{a} \plus{} 2b$ (Error compiling LaTeX. ! Undefined control sequence.)


Solution

$\fbox{}$

See Also

1958 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 29
Followed by
Problem 31
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