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If \(ab=x\) and \(\dfrac{a}{b}=y,\) and \(ab\) does not equal zero, then \(a^2-b^2=\)
A. \(\dfrac{x(y-1)(y+1)}{y}\)
B. \(xy-\dfrac{y}{x}\)
C. \(x^2-y^2\)
D. \(y\left(x^2-\dfrac1{x^2}\right)\)
E. \(\dfrac{(y+x)(y-x)}{x}\)
Answer: A
Source: Manhattan GMAT
A. \(\dfrac{x(y-1)(y+1)}{y}\)
B. \(xy-\dfrac{y}{x}\)
C. \(x^2-y^2\)
D. \(y\left(x^2-\dfrac1{x^2}\right)\)
E. \(\dfrac{(y+x)(y-x)}{x}\)
Answer: A
Source: Manhattan GMAT
