Basic Math Examples

$\frac{16 m^{3} + 8 m + 20 m}{4 m^{2}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Add $8 m$ and $20 m$ .

$\frac{16 m^{3} + 28 m}{4 m^{2}}$

Step 1.2

Factor $4 m$ out of $16 m^{3} + 28 m$ .

Tap for more steps...

Step 1.2.1

Factor $4 m$ out of $16 m^{3}$ .

$\frac{4 m (4 m^{2}) + 28 m}{4 m^{2}}$

Step 1.2.2

Factor $4 m$ out of $28 m$ .

$\frac{4 m (4 m^{2}) + 4 m (7)}{4 m^{2}}$

Step 1.2.3

Factor $4 m$ out of $4 m (4 m^{2}) + 4 m (7)$ .

$\frac{4 m (4 m^{2} + 7)}{4 m^{2}}$

$\frac{4 m (4 m^{2} + 7)}{4 m^{2}}$

$\frac{4 m (4 m^{2} + 7)}{4 m^{2}}$

Step 2

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{4 m (4 m^{2} + 7)}{4 m^{2}}$

Step 2.2

Rewrite the expression.

$\frac{m (4 m^{2} + 7)}{m^{2}}$

$\frac{m (4 m^{2} + 7)}{m^{2}}$

Step 3

Cancel the common factors.

Tap for more steps...

Step 3.1

Factor $m$ out of $m^{2}$ .

$\frac{m (4 m^{2} + 7)}{m \cdot m}$

Step 3.2

Cancel the common factor.

$\frac{m (4 m^{2} + 7)}{m \cdot m}$

Step 3.3

Rewrite the expression.

$\frac{4 m^{2} + 7}{m}$

$\frac{4 m^{2} + 7}{m}$

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