# How do you simplify (2x ^ { 3} - 5x ^ { 3} y ^ { 2} + x ^ { 2} ) + ( - 6x ^ { 3} y ^ { 2} + 3x ^ { 2} )?

Mar 12, 2017

See the entire solution process below:

#### Explanation:

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

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

Next, group like terms:

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

Now, combine like terms:

$2 {x}^{3} - 5 {x}^{3} {y}^{2} - 6 {x}^{3} {y}^{2} + 1 {x}^{2} + 3 {x}^{2}$

$2 {x}^{3} + \left(- 5 - 6\right) {x}^{3} {y}^{2} + \left(1 + 3\right) {x}^{2}$

$2 {x}^{3} - 11 {x}^{3} {y}^{2} + 4 {x}^{2}$