# How do you factor the expression -v²+2v-1?

Apr 12, 2018

$- 1 {\left(v - 1\right)}^{2}$

#### Explanation:

1) First, factor out a -1. (Keep in mind this will change all signs in the equation, not just the first one.)
$- 1 \left({v}^{2} - 2 v + 1\right)$
2) To get a negative number in the center, and a positive on the outer, you'll need two negative numbers. The only way to get -2 from from +1 is -1x-1.
$- 1 \left(v - 1\right) \left(v - 1\right)$
3) Simplified as
$- 1 {\left(v - 1\right)}^{2}$
4) There is no = so it cannot be solved farther.