Question

How do you combine `(2x^2 - 6x - 2) + (x* + 4x) + ( 3x^2 + x + 5)?`?

Answer 1

`6x^2 - x +3`

Explanation:

Combine    `(2x^2−6x−2)+(color(red)(x⋅)+4x)+(3x^2+x+5)`

NOTE: I think this part `rarr` `color(red)(x⋅)` `larr`is a typo for `color(red)(x^2)`

So I will write the problem this way:
Combine    `(2x^2−6x−2)+(color(red)(x^2)+4x)+(3x^2+x+5)`

1) Clear the parentheses by distributing their coefficients

In this case, the coefficients are `1`s, which are not written because they are understood.
But you can always just pencil them in for yourself, like this:

`color(lightgray)1(2x^2−6x−2)+color(lightgray)1(x^2+4x)+color(lightgray)1(3x^2+x+5)`

1) Clear the parentheses by distributing the coefficients
After you have distributed, you will get this:

`2x^2−6x−2+x^2+4x+3x^2+x+5`

2) Group like terms to make it easier to combine them

`2x^2+x^2+3x^2    −6x+4x+x      −2+5`

3) Combine like terms

`6x^2 - x +3` `larr` answer