Simplify (x+5)/(x+10)-(x+3)/(x+10)

$\frac{x + 5}{x + 10} - \frac{x + 3}{x + 10}$

Step 1

Combine the numerators over the common denominator.

$\frac{x + 5 - (x + 3)}{x + 10}$

Step 2

Simplify each term.

Apply the distributive property.

$\frac{x + 5 - x - 1 \cdot 3}{x + 10}$

Multiply $- 1$ by $3$ .

$\frac{x + 5 - x - 3}{x + 10}$

Step 3

Simplify by adding terms.

Combine the opposite terms in $x + 5 - x - 3$ .

Subtract $x$ from $x$ .

$\frac{0 + 5 - 3}{x + 10}$

Add $0$ and $5$ .

$\frac{5 - 3}{x + 10}$

Subtract $3$ from $5$ .

$\frac{2}{x + 10}$