Simplify.
-$$\frac { x - 4 + \frac { 4 } { x } } { x - 7 + \frac { 10 } { x } }$$
A) $\frac { x - 2 } { x - 5 }$

B) $\frac { ( x - 2 ) ^ { 2 } } { x - 5 }$

C) $\frac { x - 2 } { x ^ { 2 } - 5 x }$

D) $\frac { x ^ { 2 } - 4 x + 4 } { x ^ { 2 } - 7 x + 10 }$

Question

Simplify.
-$$\frac { x - 4 + \frac { 4 } { x } } { x - 7 + \frac { 10 } { x } }$$
A) $\frac { x - 2 } { x - 5 }$

B) $\frac { ( x - 2 ) ^ { 2 } } { x - 5 }$

C) $\frac { x - 2 } { x ^ { 2 } - 5 x }$

D) $\frac { x ^ { 2 } - 4 x + 4 } { x ^ { 2 } - 7 x + 10 }$

Quizplus · Accepted Answer

To simplify the expression, we first need to find a common denominator for the two fractions in the numerator and denominator, which is $x$. Then, we can simplify:
\begin{align*}
\frac { x - 4 + \frac { 4 } { x } } { x - 7 + \frac { 10 } { x } } &= \frac{x^2-4x +4}{x^2-7x+10} \cdot \frac{x}{x}\
&= \frac{(x-2)(x-2)}{(x-5)(x)} \
&= \frac{x-2}{x-5}.
\end{align*} Therefore, the answer is $\boxed{	extbf{(A)}}$.

Simplify - x−4+4xx−7+10x\frac { x - 4 + \frac { 4 } { x } } { x - 7 + \frac { 10 } { x } }x−7+x10​x−4+x4​​

Simplify
- $\frac { x - 4 + \frac { 4 } { x } } { x - 7 + \frac { 10 } { x } }$