Question

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

Answer 1

`4v^2-12v+2`

Explanation:

Combining like terms means adding together the terms with the same power on the variable.

We can rearrange your equation as:
`1v^2 - 5v - 2 + 3v^2 - 7v +4`

`1v^2 + 3v^2 - 5v - 7v - 2 +4`

Now we can add the like terms, so the `v^2` term will be 1+3 and so on:

`(1+3)v^2 + (-5-7)v + (-2+4)`

Giving the solution