Simplify (5c^2-15c^3)/(20c^2d+25c^2)

$\frac{5 c^{2} - 15 c^{3}}{20 c^{2} d + 25 c^{2}}$

Factor $5 c^{2}$ out of $5 c^{2} - 15 c^{3}$ .

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

$\frac{5 c^{2} (1) - 15 c^{3}}{20 c^{2} d + 25 c^{2}}$

Factor $5 c^{2}$ out of $- 15 c^{3}$ .

$\frac{5 c^{2} (1) + 5 c^{2} (- 3 c)}{20 c^{2} d + 25 c^{2}}$

Factor $5 c^{2}$ out of $5 c^{2} (1) + 5 c^{2} (- 3 c)$ .

$\frac{5 c^{2} (1 - 3 c)}{20 c^{2} d + 25 c^{2}}$

Factor $5 c^{2}$ out of $20 c^{2} d + 25 c^{2}$ .

Factor $5 c^{2}$ out of $20 c^{2} d$ .

$\frac{5 c^{2} (1 - 3 c)}{5 c^{2} (4 d) + 25 c^{2}}$

Factor $5 c^{2}$ out of $25 c^{2}$ .

$\frac{5 c^{2} (1 - 3 c)}{5 c^{2} (4 d) + 5 c^{2} (5)}$

Factor $5 c^{2}$ out of $5 c^{2} (4 d) + 5 c^{2} (5)$ .

$\frac{5 c^{2} (1 - 3 c)}{5 c^{2} (4 d + 5)}$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 c^{2} (1 - 3 c)}{5 c^{2} (4 d + 5)}$

Rewrite the expression.

$\frac{c^{2} (1 - 3 c)}{c^{2} (4 d + 5)}$

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

Cancel the common factor.

$\frac{c^{2} (1 - 3 c)}{c^{2} (4 d + 5)}$

Rewrite the expression.

$\frac{1 - 3 c}{4 d + 5}$