Factoring Perfect Square Trinomials and the Difference of Two Squares

This lesson will demonstrate how to factor perfect square trinomials and the difference of two squares. This is one of a series of math video lessons created for the MPM2D grade 10 Academic math course in the province of Ontario, Canada.

[MyLifeIsChaos]

Thank you so much! I was completely stuck and this helped a great deal!

[AlRichards]

@mkyb843 That's a real challenge since 2x^2 isn't a perfect square. I'd say factor out a common factor of 2 so you'd wite 2(x^2 + 6x + a/2). Now find the constant a/2 onthe end so that x^2 + 6x + a/2 is a perfect square. The a/2 number must equal (6/2)^2 = 9. so x^2 + 6x + 9 is a perfect square binomial. Now for the value of a: a/2 = 9 so a = 18.

[mkyb]

@AlRichards314 thank you!! im going into precalc (in honors geo right now) and forgot that from my last year's alg 2 class!

[mkyb]

HELP! I HAVE PROBLEMS THAT GO LIKE:
2x^2-12x+a and they ask for the SQUARED BINOMIAL for

HOW DO YOU FIND THE SQUARED BINOMIAL FOR 2x^2

[ericlavin]

this is for grade 10?  wtf im learning this now and im in grade 8!