Simplify (50m^3+5m^2+20m)÷10m

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

Rewrite the division as a fraction.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Cancel the common factors.

Factor $5$ out of $10 m$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factor of $m$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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