Pre-Algebra Examples

$f (8) = 8^{2} + 4 (8) + 1$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Multiply $4$ by $8$ .

$f (8) = 8^{2} + 32 + 1$

Step 1.2

Add $32$ and $1$ .

$f (8) = 8^{2} + 33$

Step 2

Divide each term in $f (8) = 8^{2} + 33$ by $8$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $f (8) = 8^{2} + 33$ by $8$ .

$\frac{f (8)}{8} = \frac{8^{2}}{8} + \frac{33}{8}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{f \cdot 8}{8} = \frac{8^{2}}{8} + \frac{33}{8}$

Step 2.2.1.2

Divide $f$ by $1$ .

$f = \frac{8^{2}}{8} + \frac{33}{8}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Combine the numerators over the common denominator.

$f = \frac{8^{2} + 33}{8}$

Step 2.3.2

Simplify the expression.

Tap for more steps...

Step 2.3.2.1

Raise $8$ to the power of $2$ .

$f = \frac{64 + 33}{8}$

Step 2.3.2.2

Add $64$ and $33$ .

$f = \frac{97}{8}$