Pre-Algebra Examples

$\frac{a^{2}}{a + 4} - \frac{16}{a + 4}$

Step 1

Combine the numerators over the common denominator.

$\frac{a^{2} - 16}{a + 4}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $16$ as $4^{2}$ .

$\frac{a^{2} - 4^{2}}{a + 4}$

Step 2.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = a$ and $b = 4$ .

$\frac{(a + 4) (a - 4)}{a + 4}$

Step 3

Cancel the common factor of $a + 4$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{(a + 4) (a - 4)}{a + 4}$

Step 3.2

Divide $a - 4$ by $1$ .

$a - 4$