# How do you find the sum or difference of (8c^3-3c^2+c-2)-(3c^3+9)?

Jun 2, 2017

See a solution process below:

#### Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$8 {c}^{3} - 3 {c}^{2} + c - 2 - 3 {c}^{3} - 9$

Next, group like terms:

$8 {c}^{3} - 3 {c}^{3} - 3 {c}^{2} + c - 2 - 9$

Now, combine like terms:

$\left(8 - 3\right) {c}^{3} - 3 {c}^{2} + c + \left(- 2 - 9\right)$

$5 {c}^{3} - 3 {c}^{2} + c + \left(- 11\right)$

$5 {c}^{3} - 3 {c}^{2} + c - 11$