MathDB
Change in the Value of an Expression

Source:

June 13, 2009

Problem Statement

If, in the expression x^2 \minus{} 3, x x increases or decreases by a positive amount of a a, the expression changes by an amount: (A)\ {\pm 2ax \plus{} a^2}\qquad (B)\ {2ax \pm a^2}\qquad (C)\ {\pm a^2 \minus{} 3} \qquad (D)\ {(x \plus{} a)^2 \minus{} 3}\qquad\\ (E)\ {(x \minus{} a)^2 \minus{} 3}