Basic Math Examples

$\frac{n^{2} - 9}{n} \div \frac{n + 3}{n}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{n^{2} - 9}{n} \cdot \frac{n}{n + 3}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Cancel the common factor of $n$ .

Tap for more steps...

Step 2.1.1

Cancel the common factor.

$\frac{n^{2} - 9}{n} \cdot \frac{n}{n + 3}$

Step 2.1.2

Rewrite the expression.

$(n^{2} - 9) \frac{1}{n + 3}$

Step 2.2

Multiply $n^{2} - 9$ by $\frac{1}{n + 3}$ .

$\frac{n^{2} - 9}{n + 3}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Rewrite $9$ as $3^{2}$ .

$\frac{n^{2} - 3^{2}}{n + 3}$

Step 3.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = n$ and $b = 3$ .

$\frac{(n + 3) (n - 3)}{n + 3}$

Step 4

Cancel the common factor of $n + 3$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{(n + 3) (n - 3)}{n + 3}$

Step 4.2

Divide $n - 3$ by $1$ .

$n - 3$