Mathematics
Chirsthoper
63

Which expression is equivalent to the following complex fraction? A. [latex] \frac{y+x}{y-x} [/latex] B. [latex] \frac{(y-x)(y+x)}{x^2y^2} [/latex] C. [latex] \frac{x^2y^2}{(y+x)(y+x)} [/latex] D. [latex] \frac{y-x}{y+x} [/latex]

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(1) Answers
kingsleyeben

[latex]\dfrac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}=\dfrac{\frac{y}{xy}-\frac{x}{xy}}{\frac{y}{xy}+\frac{x}{xy}}=\dfrac{\frac{y-x}{xy}}{\frac{y+x}{xy}}=\dfrac{(y-x)xy}{(y+x)xy}=\dfrac{y-x}{y+x}[/latex] Answer D.

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