Simplify the given rational expression by completing the step

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

just answered it answer was last option

For this case we have the following expression:

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

We make common factor c ^ 2:

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

We do common factor 5:

(5c ^ 2 (1-3c)) / (5c ^ 2 (4d + 5))

Canceling similar terms we have:

(1-3c) / (4d + 5)

Answer:

The simplified expression is given by:

(1-3c) / (4d + 5)