1958 AHSME Problems/Problem 23

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Problem

If, in the expression $x^2 \minus{} 3$ (Error compiling LaTeX. Unknown error_msg), $x$ increases or decreases by a positive amount of $a$, the expression changes by an amount:

$\textbf{(A)}\ {\pm 2ax \plus{} a^2}\qquad \textbf{(B)}\ {2ax \pm a^2}\qquad \textbf{(C)}\ {\pm a^2 \minus{} 3} \qquad \textbf{(D)}\ {(x \plus{} a)^2 \minus{} 3}\qquad\\ \textbf{(E)}\ {(x \minus{} a)^2 \minus{} 3}$ (Error compiling LaTeX. Unknown error_msg)


Solution

$\fbox{}$

See Also

1958 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 22
Followed by
Problem 24
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