+0  
 
0
883
1
avatar

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

 

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

 Apr 3, 2018
 #1
avatar+349 
+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 \((x-y)^2\) smiley

 Apr 3, 2018

2 Online Users