1. **State the problem:** Factor the expression $$6p^2 + 6p - 12$$ completely. 2. **Identify the greatest common factor (GCF):** The coefficients are 6, 6, and -12. The GCF of these numbers is 6. 3. **Factor out the GCF:** $$6p^2 + 6p - 12 = 6(p^2 + p - 2)$$ 4. **Factor the quadratic inside the parentheses:** We need two numbers that multiply to $$-2$$ and add to $$1$$ (the coefficient of $$p$$). These numbers are $$2$$ and $$-1$$ because $$2 \times (-1) = -2$$ and $$2 + (-1) = 1$$. 5. **Write the factored form:** $$6(p + 2)(p - 1)$$ 6. **Final answer:** $$\boxed{6(p + 2)(p - 1)}$$