Pre-Algebra Examples

$(16 u^{4} + 18 u^{2} + 6) \div 2 u$

Step 1

Rewrite the division as a fraction.

$\frac{16 u^{4} + 18 u^{2} + 6}{2 u}$

Step 2

Cancel the common factor of $16 u^{4} + 18 u^{2} + 6$ and $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $16 u^{4}$ .

$\frac{2 (8 u^{4}) + 18 u^{2} + 6}{2 u}$

Step 2.2

Factor $2$ out of $18 u^{2}$ .

$\frac{2 (8 u^{4}) + 2 (9 u^{2}) + 6}{2 u}$

Step 2.3

Factor $2$ out of $2 (8 u^{4}) + 2 (9 u^{2})$ .

$\frac{2 (8 u^{4} + 9 u^{2}) + 6}{2 u}$

Step 2.4

Factor $2$ out of $6$ .

$\frac{2 (8 u^{4} + 9 u^{2}) + 2 \cdot 3}{2 u}$

Step 2.5

Factor $2$ out of $2 (8 u^{4} + 9 u^{2}) + 2 (3)$ .

$\frac{2 (8 u^{4} + 9 u^{2} + 3)}{2 u}$

Step 2.6

Cancel the common factors.

Tap for more steps...

Step 2.6.1

Factor $2$ out of $2 u$ .

$\frac{2 (8 u^{4} + 9 u^{2} + 3)}{2 (u)}$

Step 2.6.2

Cancel the common factor.

$\frac{2 (8 u^{4} + 9 u^{2} + 3)}{2 u}$

Step 2.6.3

Rewrite the expression.

$\frac{8 u^{4} + 9 u^{2} + 3}{u}$

Step 3

Split the fraction $\frac{8 u^{4} + 9 u^{2} + 3}{u}$ into two fractions.

$\frac{8 u^{4} + 9 u^{2}}{u} + \frac{3}{u}$

Step 4

Split the fraction $\frac{8 u^{4} + 9 u^{2}}{u}$ into two fractions.

$\frac{8 u^{4}}{u} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 5

Cancel the common factor of $u^{4}$ and $u$ .

Tap for more steps...

Step 5.1

Factor $u$ out of $8 u^{4}$ .

$\frac{u (8 u^{3})}{u} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Raise $u$ to the power of $1$ .

$\frac{u (8 u^{3})}{u^{1}} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 5.2.2

Factor $u$ out of $u^{1}$ .

$\frac{u (8 u^{3})}{u \cdot 1} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 5.2.3

Cancel the common factor.

$\frac{u (8 u^{3})}{u \cdot 1} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 5.2.4

Rewrite the expression.

$\frac{8 u^{3}}{1} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 5.2.5

Divide $8 u^{3}$ by $1$ .

$8 u^{3} + \frac{9 u^{2}}{u} + \frac{3}{u}$

Step 6

Cancel the common factor of $u^{2}$ and $u$ .

Tap for more steps...

Step 6.1

Factor $u$ out of $9 u^{2}$ .

$8 u^{3} + \frac{u (9 u)}{u} + \frac{3}{u}$

Step 6.2

Cancel the common factors.

Tap for more steps...

Step 6.2.1

Raise $u$ to the power of $1$ .

$8 u^{3} + \frac{u (9 u)}{u^{1}} + \frac{3}{u}$

Step 6.2.2

Factor $u$ out of $u^{1}$ .

$8 u^{3} + \frac{u (9 u)}{u \cdot 1} + \frac{3}{u}$

Step 6.2.3

Cancel the common factor.

$8 u^{3} + \frac{u (9 u)}{u \cdot 1} + \frac{3}{u}$

Step 6.2.4

Rewrite the expression.

$8 u^{3} + \frac{9 u}{1} + \frac{3}{u}$

Step 6.2.5

Divide $9 u$ by $1$ .

$8 u^{3} + 9 u + \frac{3}{u}$