# How do you simplify (2x^3 - 4x^2 + 5) + (-x^2 - 3x + 1)?

Apr 24, 2017

See the solution process below:

#### Explanation:

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

$2 {x}^{3} - 4 {x}^{2} + 5 - {x}^{2} - 3 x + 1$

Next, group like terms:

$2 {x}^{3} - 4 {x}^{2} - {x}^{2} - 3 x + 1 + 5$

Now, combine like terms:

$2 {x}^{3} - 4 {x}^{2} - 1 {x}^{2} - 3 x + 1 + 5$

$2 {x}^{3} + \left(- 4 - 1\right) {x}^{2} - 3 x + \left(1 + 5\right)$

$2 {x}^{3} + \left(- 5\right) {x}^{2} - 3 x + 6$

$2 {x}^{3} - 5 {x}^{2} - 3 x + 6$