Pre-Algebra Examples

$\frac{x^{2} + 10 x}{x + 8} + \frac{16}{x + 8}$

Step 1

Combine the numerators over the common denominator.

$\frac{x^{2} + 10 x + 16}{x + 8}$

Step 2

Factor $x^{2} + 10 x + 16$ using the AC method.

Tap for more steps...

Step 2.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $16$ and whose sum is $10$ .

$2, 8$

Step 2.2

Write the factored form using these integers.

$\frac{(x + 2) (x + 8)}{x + 8}$

Step 3

Cancel the common factor of $x + 8$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{(x + 2) (x + 8)}{x + 8}$

Step 3.2

Divide $x + 2$ by $1$ .

$x + 2$