Question

How do you combine like terms in `(5x ^ { 4} + 6x ^ { 3} - 9) - ( 8x ^ { 2} - 6x + 7)`?

Answer 1

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:

`5x^4 + 6x^3 - 9 - 8x^2 - 6x - 7`

Next, group like terms:

`5x^4 + 6x^3 - 8x^2 - 6x - 9 - 7`

Now, combine like terms:

`5x^4 + 6x^3 - 8x^2 - 6x - 16`

Answer 2

`5x^4+6x^3-8x^2+6x-16`

Explanation:

`5x^4` is alone, so it is just that. `6x^3` is also alone, so nothing to change. `8x^2` is also alone, so it is `8x^2`. then it is something minus negative `6x` then `-9-7=-16`.