How do you combine (8c^2 - 2c) + (2c^2 + 3c)?

Mar 6, 2018

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:

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

Next, group like terms:

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

Now, combine like terms:

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

$10 {c}^{2} + 1 c$

$10 {c}^{2} + c$