Question
Answer
$$\dfrac{n^2+6n+5}{n+1}=n+5$$
Explanation
| $$ \begin{aligned}\frac{n^2+6n+5}{n+1}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}n+5\end{aligned} $$ | |
| ① | Simplify $ \dfrac{n^2+6n+5}{n+1} $ to $ n+5$. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{n+1}$. $$ \begin{aligned} \frac{n^2+6n+5}{n+1} & =\frac{ \left( n+5 \right) \cdot \color{blue}{ \left( n+1 \right) }}{ 1 \cdot \color{blue}{ \left( n+1 \right) }} = \\[1ex] &= \frac{n+5}{1} =n+5 \end{aligned} $$ |
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Simplify Rational Expressions