How do you combine like terms in (12x ^ { 3} + 15x ^ { 2} - 10x ) + ( 6x + 3x ^ { 3} - 5x ^ { 2} )(12x3+15x210x)+(6x+3x35x2)?

1 Answer
Jun 12, 2018

Here.

Explanation:

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

(12x^312x3+ 15x^215x2- 10x10x) + (6x6x+ 3x^33x3- 5x^25x2)

So this becomes:

12x^312x3+ 15x^215x2- 10x10x+ 6x6x+ 3x^33x3- 5x^25x2

•Now bring all the like terms together. So all the x^3x3 are together and all the x^2x2 are together and all the xx are together.

So you get:
12x^312x3+ 3x^33x3+ 15x^215x2-5x^25x2- 10x10x+ 6x6x

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

15x^315x3+ 10x^210x2- 4x4x