Algebra Examples

$\frac{2 p + 5}{r} - \frac{2 p - 7}{r}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 p + 5 - (2 p - 7)}{r}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$\frac{2 p + 5 - (2 p) - - 7}{r}$

Step 2.2

Multiply $2$ by $- 1$ .

$\frac{2 p + 5 - 2 p - - 7}{r}$

Step 2.3

Multiply $- 1$ by $- 7$ .

$\frac{2 p + 5 - 2 p + 7}{r}$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Combine the opposite terms in $2 p + 5 - 2 p + 7$ .

Tap for more steps...

Step 3.1.1

Subtract $2 p$ from $2 p$ .

$\frac{0 + 5 + 7}{r}$

Step 3.1.2

Add $0$ and $5$ .

$\frac{5 + 7}{r}$

Step 3.2

Add $5$ and $7$ .

$\frac{12}{r}$