# How do you factor #x^2-2xy+y^2#?

##### 1 Answer

Apr 12, 2016

The factors are

or

#### Explanation:

We need to factor the trinomial

The factors of

The factors of

Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.

The factors are

or

Check by FOIL

Firsts

Outers

Inners

Lasts

combine the middle terms