# How do you simplify (6+ 4x + 8x ^ { 2} + 3x ^ { 3} ) + ( 4- 4x + 8x ^ { 2} - 3x ^ { 3} )?

May 4, 2018

$10 + 16 {x}^{2}$

#### Explanation:

$\left(6 + 4 x + 8 {x}^{2} + 3 {x}^{3}\right) + \left(4 - 4 x + 8 {x}^{2} - 3 {x}^{3}\right)$
$= \left(6 + 4\right) + \left(4 x - 4 x\right) + \left(8 {x}^{2} + 8 {x}^{2}\right) + \left(- 3 {x}^{3} + 3 {x}^{3}\right)$
$= 10 + 16 {x}^{2}$

May 4, 2018

Just add quantities with the same variables

#### Explanation:

With or without the parenthesis, just add (or subtract) the quantities given.

$6 + \cancel{4 x} + 8 {x}^{2} + \cancel{3 {x}^{3}} + 4 - \cancel{4 x} + 8 {x}^{2} - \cancel{3 {x}^{3}}$

$6 + 8 {x}^{2} + 4 + 8 {x}^{2}$

$10 + 16 {x}^{2}$

The exponent on the variables will not change because you are only changing the number they will be multiplied by.