Basic Math Examples

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

Step 1

Factor $4 m$ out of $20 m^{3} + 16 m^{2} + 8 m$ .

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Step 1.1

Factor $4 m$ out of $20 m^{3}$ .

$\frac{4 m (5 m^{2}) + 16 m^{2} + 8 m}{4 m^{2}}$

Step 1.2

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

$\frac{4 m (5 m^{2}) + 4 m (4 m) + 8 m}{4 m^{2}}$

Step 1.3

Factor $4 m$ out of $8 m$ .

$\frac{4 m (5 m^{2}) + 4 m (4 m) + 4 m (2)}{4 m^{2}}$

Step 1.4

Factor $4 m$ out of $4 m (5 m^{2}) + 4 m (4 m)$ .

$\frac{4 m (5 m^{2} + 4 m) + 4 m (2)}{4 m^{2}}$

Step 1.5

Factor $4 m$ out of $4 m (5 m^{2} + 4 m) + 4 m (2)$ .

$\frac{4 m (5 m^{2} + 4 m + 2)}{4 m^{2}}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Cancel the common factor.

$\frac{4 m (5 m^{2} + 4 m + 2)}{4 m^{2}}$

Step 2.2

Rewrite the expression.

$\frac{m (5 m^{2} + 4 m + 2)}{m^{2}}$

Step 3

Cancel the common factors.

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Step 3.1

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

$\frac{m (5 m^{2} + 4 m + 2)}{m \cdot m}$

Step 3.2

Cancel the common factor.

$\frac{m (5 m^{2} + 4 m + 2)}{m \cdot m}$

Step 3.3

Rewrite the expression.

$\frac{5 m^{2} + 4 m + 2}{m}$