Algebra Examples

$\frac{3 n + 2}{n + 4} - \frac{n - 6}{n + 4}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 n + 2 - (n - 6)}{n + 4}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$\frac{3 n + 2 - n - - 6}{n + 4}$

Step 2.2

Multiply $- 1$ by $- 6$ .

$\frac{3 n + 2 - n + 6}{n + 4}$

$\frac{3 n + 2 - n + 6}{n + 4}$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Subtract $n$ from $3 n$ .

$\frac{2 n + 2 + 6}{n + 4}$

Step 3.2

Add $2$ and $6$ .

$\frac{2 n + 8}{n + 4}$

Step 3.3

Factor $2$ out of $2 n + 8$ .

Tap for more steps...

Step 3.3.1

Factor $2$ out of $2 n$ .

$\frac{2 (n) + 8}{n + 4}$

Step 3.3.2

Factor $2$ out of $8$ .

$\frac{2 n + 2 \cdot 4}{n + 4}$

Step 3.3.3

Factor $2$ out of $2 n + 2 \cdot 4$ .

$\frac{2 (n + 4)}{n + 4}$

$\frac{2 (n + 4)}{n + 4}$

Step 3.4

Cancel the common factor of $n + 4$ .

Tap for more steps...

Step 3.4.1

Cancel the common factor.

$\frac{2 (n + 4)}{n + 4}$

Step 3.4.2

Divide $2$ by $1$ .

$2$

$2$

$2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$