Basic Math Examples

$\frac{6 u^{4} - 8 u^{3}}{2 u^{2}}$

Step 1

Simplify terms.

Tap for more steps...

Step 1.1

Factor $2 u^{3}$ out of $6 u^{4} - 8 u^{3}$ .

Tap for more steps...

Step 1.1.1

Factor $2 u^{3}$ out of $6 u^{4}$ .

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

Step 1.1.2

Factor $2 u^{3}$ out of $- 8 u^{3}$ .

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

Step 1.1.3

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

$\frac{2 u^{3} (3 u - 4)}{2 u^{2}}$

$\frac{2 u^{3} (3 u - 4)}{2 u^{2}}$

Step 1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.2.1

Cancel the common factor.

$\frac{2 u^{3} (3 u - 4)}{2 u^{2}}$

Step 1.2.2

Rewrite the expression.

$\frac{u^{3} (3 u - 4)}{u^{2}}$

$\frac{u^{3} (3 u - 4)}{u^{2}}$

Step 1.3

Cancel the common factor of $u^{3}$ and $u^{2}$ .

Tap for more steps...

Step 1.3.1

Factor $u^{2}$ out of $u^{3} (3 u - 4)$ .

$\frac{u^{2} (u (3 u - 4))}{u^{2}}$

Step 1.3.2

Cancel the common factors.

Tap for more steps...

Step 1.3.2.1

Multiply by $1$ .

$\frac{u^{2} (u (3 u - 4))}{u^{2} \cdot 1}$

Step 1.3.2.2

Cancel the common factor.

$\frac{u^{2} (u (3 u - 4))}{u^{2} \cdot 1}$

Step 1.3.2.3

Rewrite the expression.

$\frac{u (3 u - 4)}{1}$

Step 1.3.2.4

Divide $u (3 u - 4)$ by $1$ .

$u (3 u - 4)$

$u (3 u - 4)$

$u (3 u - 4)$

Step 1.4

Apply the distributive property.

$u (3 u) + u \cdot - 4$

Step 1.5

Reorder.

Tap for more steps...

Step 1.5.1

Rewrite using the commutative property of multiplication.

$3 u \cdot u + u \cdot - 4$

Step 1.5.2

Move $- 4$ to the left of $u$ .

$3 u \cdot u - 4 \cdot u$

$3 u \cdot u - 4 \cdot u$

$3 u \cdot u - 4 \cdot u$

Step 2

Multiply $u$ by $u$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $u$ .

$3 (u \cdot u) - 4 \cdot u$

Step 2.2

Multiply $u$ by $u$ .

$3 u^{2} - 4 \cdot u$

$3 u^{2} - 4 u$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$