# How do you combine like terms in (12x ^ { 3} + 15x ^ { 2} - 10x ) + ( 6x + 3x ^ { 3} - 5x ^ { 2} )?

Jun 12, 2018

Here.

#### Explanation:

•See, first open the brackets by multiplying 1 with all its insides. So you get:

($12 {x}^{3}$+ $15 {x}^{2}$- $10 x$) + ($6 x$+ $3 {x}^{3}$- $5 {x}^{2}$)

So this becomes:

$12 {x}^{3}$+ $15 {x}^{2}$- $10 x$+ $6 x$+ $3 {x}^{3}$- $5 {x}^{2}$

•Now bring all the like terms together. So all the ${x}^{3}$ are together and all the ${x}^{2}$ are together and all the $x$ are together.

So you get:
$12 {x}^{3}$+ $3 {x}^{3}$+ $15 {x}^{2}$-$5 {x}^{2}$- $10 x$+ $6 x$

•Then you start adding and subtracting the like terms. So you get:

$15 {x}^{3}$+ $10 {x}^{2}$- $4 x$