# How do you simplify (d^2 + 4d + 3)/(d + 1)?

Mar 16, 2017

See the entire solution process below:

#### Explanation:

First, factor the numerator as:

$\frac{\left(d + 3\right) \left(d + 1\right)}{d + 1}$

Now, cancel common terms in the numerator and denominator:

$\frac{\left(d + 3\right) \textcolor{red}{\cancel{\textcolor{b l a c k}{\left(d + 1\right)}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{d + 1}}}} \to$

$d + 3$ Where: $d + 1 \ne 0$ or $d \ne - 1$