Mathematics: What is the difference r+2/r+4-3/r+1

What is the difference r+2/r+4-3/r+1

hope4517

11.01.2022

$\frac{r^2-10}{(r+4)(r+1)}$

Step-by-step explanation:

We want to evaluate:

$\frac{r+2}{r+4}-\frac{3}{r+1}$

We collect the least common multiple of the denominators to get:

$\frac{(r+2)(r+1)-3(r+4)}{(r+4)(r+1)}$

Expand the numerator:

$\frac{r^2+3r+2-3r-12}{(r+4)(r+1)}$

$\frac{r^2-3r+3r+2-12}{(r+4)(r+1)}$

$\frac{r^2-10}{(r+4)(r+1)}$

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Shihhschool20

03.01.2021

it would be 5

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9,10 the middle #is 5

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