Divide (14m^2-28m^8+7m)/(7m)

$\frac{14 m^{2} - 28 m^{8} + 7 m}{7 m}$

Step 1

Simplify the numerator.

Factor $7 m$ out of $14 m^{2} - 28 m^{8} + 7 m$ .

Factor $7 m$ out of $14 m^{2}$ .

$\frac{7 m (2 m) - 28 m^{8} + 7 m}{7 m}$

Factor $7 m$ out of $- 28 m^{8}$ .

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

Factor $7 m$ out of $7 m$ .

$\frac{7 m (2 m) + 7 m (- 4 m^{7}) + 7 m (1)}{7 m}$

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

$\frac{7 m (2 m - 4 m^{7}) + 7 m (1)}{7 m}$

Factor $7 m$ out of $7 m (2 m - 4 m^{7}) + 7 m (1)$ .

$\frac{7 m (2 m - 4 m^{7} + 1)}{7 m}$

Reorder terms.

$\frac{7 m (- 4 m^{7} + 2 m + 1)}{7 m}$

Step 2

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 m (- 4 m^{7} + 2 m + 1)}{7 m}$

Rewrite the expression.

$\frac{m (- 4 m^{7} + 2 m + 1)}{m}$

Step 3

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m (- 4 m^{7} + 2 m + 1)}{m}$

Divide $- 4 m^{7} + 2 m + 1$ by $1$ .

$- 4 m^{7} + 2 m + 1$