Simplify. Please show all of your work
9c^3+7c-(3c^3-12+c)
Get rid of parenthesis.
9c^3+7c-3c^3+12-c
Combine like terms.
6c^3+6c+12
To simplify the given expression, we first need to combine like terms. Let's break it down step by step:
1. Distribute the negative sign inside the parentheses:
9c^3 + 7c - 3c^3 + 12 - c
2. Combine the like terms:
(9c^3 - 3c^3) + 7c - c + 12
(9 - 3) c^3 + (7 - 1) c + 12
3. Simplify the coefficients:
6c^3 + 6c + 12
So, the simplified form of the expression 9c^3 + 7c - (3c^3 - 12 + c) is 6c^3 + 6c + 12.