# How do you find the sum or difference of (-4z^3-2z+8)-(4z^3+3z^2-5)?

Feb 12, 2017

See the entire solution process below:

#### Explanation:

First, expand the terms in parenthesis. Be careful to handle the signs for each individual term correctly:

$- 4 {z}^{3} - 2 z + 8 - 4 {z}^{3} - 3 {z}^{2} + 5$

Next, group like terms together:

$- 4 {z}^{3} - 4 {z}^{3} - 3 {z}^{2} - 2 z + 8 + 5$

Now, combine like terms:

$\left(- 4 - 4\right) {z}^{3} - 3 {z}^{2} - 2 z + 13$

$- 8 {z}^{3} - 3 {z}^{2} - 2 z + 13$