Question

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

Answer 1

See a solution process below:

Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

`2 - 2n^2 + 6n^3 + 7n^3 + 3 - 2n^4`

Next, group like terms:

`-2n^4 + 6n^3 + 7n^3 - 2n^2 + 2 + 3`

Now, combine like terms:

`-2n^4 + (6 + 7)n^3 - 2n^2 + (2 + 3)`

`-2n^4 + 13n^3 - 2n^2 + 5`