Simplify (24w^4+14w^3-4w^2+10w)/(2w)

$\frac{24 w^{4} + 14 w^{3} - 4 w^{2} + 10 w}{2 w}$

Step 1

Factor $2 w$ out of $24 w^{4} + 14 w^{3} - 4 w^{2} + 10 w$ .

Factor $2 w$ out of $24 w^{4}$ .

$\frac{2 w (12 w^{3}) + 14 w^{3} - 4 w^{2} + 10 w}{2 w}$

Factor $2 w$ out of $14 w^{3}$ .

$\frac{2 w (12 w^{3}) + 2 w (7 w^{2}) - 4 w^{2} + 10 w}{2 w}$

Factor $2 w$ out of $- 4 w^{2}$ .

$\frac{2 w (12 w^{3}) + 2 w (7 w^{2}) + 2 w (- 2 w) + 10 w}{2 w}$

Factor $2 w$ out of $10 w$ .

$\frac{2 w (12 w^{3}) + 2 w (7 w^{2}) + 2 w (- 2 w) + 2 w (5)}{2 w}$

Factor $2 w$ out of $2 w (12 w^{3}) + 2 w (7 w^{2})$ .

$\frac{2 w (12 w^{3} + 7 w^{2}) + 2 w (- 2 w) + 2 w (5)}{2 w}$

Factor $2 w$ out of $2 w (12 w^{3} + 7 w^{2}) + 2 w (- 2 w)$ .

$\frac{2 w (12 w^{3} + 7 w^{2} - 2 w) + 2 w (5)}{2 w}$

Factor $2 w$ out of $2 w (12 w^{3} + 7 w^{2} - 2 w) + 2 w (5)$ .

$\frac{2 w (12 w^{3} + 7 w^{2} - 2 w + 5)}{2 w}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 w (12 w^{3} + 7 w^{2} - 2 w + 5)}{2 w}$

Rewrite the expression.

$\frac{w (12 w^{3} + 7 w^{2} - 2 w + 5)}{w}$

Step 3

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{w (12 w^{3} + 7 w^{2} - 2 w + 5)}{w}$

Divide $12 w^{3} + 7 w^{2} - 2 w + 5$ by $1$ .

$12 w^{3} + 7 w^{2} - 2 w + 5$