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

Jun 10, 2015

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:
${x}^{2} - 7 x + 3$

#### Explanation:

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