# How do you simplify (4p^2q + 5p^3q^2 - 6pq) - ( -2p^3q^2 + 5pq - 8p^2q)?

Jul 30, 2016

Combine like terms.

#### Explanation:

In order to solve this problem, we need to combine like terms (terms that contain the same variable(s)). Let's make three simple subtraction problems:

$4 {p}^{2} q - - 8 {p}^{2} q = 4 {p}^{2} q + 8 {p}^{2} q = 12 {p}^{2} q$
$5 {p}^{3} {q}^{2} - - 2 {p}^{3} {q}^{2} = 5 {p}^{3} {q}^{2} + 2 {p}^{3} {q}^{2} = 7 {p}^{3} {q}^{2}$
$- 6 p q - 5 p q = - 11 p q$

Let's put all three of those answers into an equation to get our answer:

$12 {p}^{2} q + 7 {p}^{3} {q}^{2} - 11 p q$