Factor - 75c^2-45c+12

Answer: - 3 (5c+4) (5c-1)

Step-by-step explanation:

1. Find the Greatest Common Factor (GCF).

GCF=3

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

3 (75c^2/3+45c/3-12/3)

3. Simplify each term in parentheses.

-3 (25c^2+15c-4)

4. Split the second term in 25c2+15c-4 into two terms.

-3 (25c^2+20c-5c-4)

5. Factor out common terms in the first two terms, then in the last two terms.

-3 (5c (5c+4) - (5c+4))

6. Factor out the common term 5c+4

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