Simplify (32s^5w^2-24s^2w^3)/(8s^2w^2)

$\frac{32 s^{5} w^{2} - 24 s^{2} w^{3}}{8 s^{2} w^{2}}$

Factor $8 s^{2} w^{2}$ out of $32 s^{5} w^{2} - 24 s^{2} w^{3}$ .

Factor $8 s^{2} w^{2}$ out of $32 s^{5} w^{2}$ .

$\frac{8 s^{2} w^{2} (4 s^{3}) - 24 s^{2} w^{3}}{8 s^{2} w^{2}}$

Factor $8 s^{2} w^{2}$ out of $- 24 s^{2} w^{3}$ .

$\frac{8 s^{2} w^{2} (4 s^{3}) + 8 s^{2} w^{2} (- 3 w)}{8 s^{2} w^{2}}$

Factor $8 s^{2} w^{2}$ out of $8 s^{2} w^{2} (4 s^{3}) + 8 s^{2} w^{2} (- 3 w)$ .

$\frac{8 s^{2} w^{2} (4 s^{3} - 3 w)}{8 s^{2} w^{2}}$

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 s^{2} w^{2} (4 s^{3} - 3 w)}{8 s^{2} w^{2}}$

Rewrite the expression.

$\frac{s^{2} w^{2} (4 s^{3} - 3 w)}{s^{2} w^{2}}$

Cancel the common factor of $s^{2}$ .

Cancel the common factor.

$\frac{s^{2} w^{2} (4 s^{3} - 3 w)}{s^{2} w^{2}}$

Rewrite the expression.

$\frac{w^{2} (4 s^{3} - 3 w)}{w^{2}}$

Cancel the common factor of $w^{2}$ .

Cancel the common factor.

$\frac{w^{2} (4 s^{3} - 3 w)}{w^{2}}$

Divide $4 s^{3} - 3 w$ by $1$ .

$4 s^{3} - 3 w$