Answer: −3(5c+4)(5c−1)
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)