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

1 Answer
Mar 20, 2018

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⋅) larris 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 1s, 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