Simplify (2x+6)/(x+1)-4/(x+1)

$\frac{2 x + 6}{(x + 1)} - \frac{4}{(x + 1)}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 x + 6 - 4}{x + 1}$

Step 2

Subtract $4$ from $6$ .

$\frac{2 x + 2}{x + 1}$

Step 3

Factor $2$ out of $2 x + 2$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 2}{x + 1}$

Factor $2$ out of $2$ .

$\frac{2 (x) + 2 (1)}{x + 1}$

Factor $2$ out of $2 (x) + 2 (1)$ .

$\frac{2 (x + 1)}{x + 1}$

Step 4

Cancel the common factor of $x + 1$ .

Cancel the common factor.

$\frac{2 (x + 1)}{x + 1}$

Divide $2$ by $1$ .

$2$