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

Question

2370 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-16T01:11:38

See the entire solution process below:

First, factor the numerator as:

$((d + 3)(d + 1))/(d + 1)$

Now, cancel common terms in the numerator and denominator:

$((d + 3)color(red)(cancel(color(black)((d + 1)))))/color(red)(cancel(color(black)(d + 1))) ->$

$d + 3$ Where: $d + 1 != 0$ or $d != -1$

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