What is the difference?

$
\begin{aligned}
& \frac{x+5}{x+2}-\frac{x+1}{x^{2}+2 x} \
& ext { (1) } \frac{x^{2}+4 x-1}{x(x+2)} \
& ext { (2) } \frac{x^{2}+4 x+1}{x(x+2)} \
& ext { (3) } \frac{4}{-1\left(x^{2}+x-2 ight)} \
& ext { (4) } \frac{x^{2}+6 x+1}{x(x+2)}
\end{aligned}
$

Question

What is the difference?

$
\begin{aligned}
& \frac{x+5}{x+2}-\frac{x+1}{x^{2}+2 x} \
& 	ext { (1) } \frac{x^{2}+4 x-1}{x(x+2)} \
& 	ext { (2) } \frac{x^{2}+4 x+1}{x(x+2)} \
& 	ext { (3) } \frac{4}{-1\left(x^{2}+x-2ight)} \
& 	ext { (4) } \frac{x^{2}+6 x+1}{x(x+2)}
\end{aligned}
$

StudyXY · Accepted Answer

Let's solve this step by step: : Simplify the first fraction $\frac{x+5}{x+2}$ : Simplify the second fraction $\frac{x+1}{x^{2}+2x}$ : Subtract the fractions : Find a common denominator : Subtract the numerators : Compare with the given options The correct option is (1) $\frac{x^{2}+4x-1}{x(x+2)}$.

Q
QuestionAnatomy and Physiology

Answer

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Step 1
Let's solve this step by step:

Step 2
: Simplify the first fraction \frac{x+ 5}{x+ 2}

Final Answer

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