\({x^2 - 2xy + y^2}\)

I never encountered a trinomial like this before... how should I factor it?

Guest Apr 3, 2018

#1**+2 **

This is something called a **PERFECT SQUARE TRINOMIAL (PST).** It is, well, the square of a binomial. These are the two forms:

\((x+y)^2=x^2+2xy+y^2\)

\((x-y)^2=x^2-2xy+y^2\)

So, the factored form of your trinomial is \((x-y)^2\)

Mathhemathh Apr 3, 2018