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

1 Answer
Jun 12, 2018

Here.

Explanation:

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

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

So this becomes:

12x^3+ 15x^2- 10x+ 6x+ 3x^3- 5x^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:
12x^3+ 3x^3+ 15x^2-5x^2- 10x+ 6x

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

15x^3+ 10x^2- 4x