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

 

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

Guest Apr 3, 2018
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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

Mathhemathh  Apr 3, 2018

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