Which expression is equivalent to the following complex fraction?

A. [tex] \frac{x-3}{x} [/tex]
B. [tex] \frac{x+3}{1} [/tex]
C. [tex] \frac{x+3}{x} [/tex]
D. [tex] \frac{x}{x+3} [/tex]

Which expression is equivalent to the following complex fraction A tex fracx3x tex B tex fracx31 tex C tex fracx3x tex D tex fracxx3 tex class=

Respuesta :

[tex]\dfrac{\frac{x}{x-3}}{\frac{x^2}{x^2-9}}=\dfrac{x(x^2-9)}{(x-3)x^2}=\dfrac{x(x+3)(x-3)}{(x-3)x\cdot x}=\dfrac{x+3}{x}[/tex]

Answer C.

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