Algebra Examples

$(50 m^{3} + 5 m^{2} + 20 m) \div 10 m$

Step 1

Rewrite the division as a fraction.

$\frac{50 m^{3} + 5 m^{2} + 20 m}{10 m}$

Step 2

Factor $5 m$ out of $50 m^{3} + 5 m^{2} + 20 m$ .

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Step 2.1

Factor $5 m$ out of $50 m^{3}$ .

$\frac{5 m (10 m^{2}) + 5 m^{2} + 20 m}{10 m}$

Step 2.2

Factor $5 m$ out of $5 m^{2}$ .

$\frac{5 m (10 m^{2}) + 5 m (m) + 20 m}{10 m}$

Step 2.3

Factor $5 m$ out of $20 m$ .

$\frac{5 m (10 m^{2}) + 5 m (m) + 5 m (4)}{10 m}$

Step 2.4

Factor $5 m$ out of $5 m (10 m^{2}) + 5 m (m)$ .

$\frac{5 m (10 m^{2} + m) + 5 m (4)}{10 m}$

Step 2.5

Factor $5 m$ out of $5 m (10 m^{2} + m) + 5 m (4)$ .

$\frac{5 m (10 m^{2} + m + 4)}{10 m}$

$\frac{5 m (10 m^{2} + m + 4)}{10 m}$

Step 3

Cancel the common factor of $5$ and $10$ .

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Step 3.1

Factor $5$ out of $5 m (10 m^{2} + m + 4)$ .

$\frac{5 (m (10 m^{2} + m + 4))}{10 m}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $10 m$ .

$\frac{5 (m (10 m^{2} + m + 4))}{5 (2 m)}$

Step 3.2.2

Cancel the common factor.

$\frac{5 (m (10 m^{2} + m + 4))}{5 (2 m)}$

Step 3.2.3

Rewrite the expression.

$\frac{m (10 m^{2} + m + 4)}{2 m}$

$\frac{m (10 m^{2} + m + 4)}{2 m}$

$\frac{m (10 m^{2} + m + 4)}{2 m}$

Step 4

Cancel the common factor of $m$ .

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Step 4.1

Cancel the common factor.

$\frac{m (10 m^{2} + m + 4)}{2 m}$

Step 4.2

Rewrite the expression.

$\frac{10 m^{2} + m + 4}{2}$

$\frac{10 m^{2} + m + 4}{2}$

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