Question

How do you add `(x-6)+(x^2 -8x +9)`?

Answer 1

You first get rid of the brackets (considering the effect of the sign in front of them) and then add similar terms (with the same type of letters).
You'll get:
`x^2-7x+3`

Explanation:

In this case you have:
`(x-6)+(x^2-8x+9)=`
The `+` sign does not change the signs of the factors inside the bracket so you get:
`=x-6+x^2-8x+9=`
We can add together (respecting their signs) the terms with `x` and the numbers which are "similar", to get:
`=x^2-7x+3`