In this article, we'll learn how to factor perfect square trinomials using special patterns. This reverses the process of squaring a binomial, so you'll want to understand that completely before proceeding.

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b) (a-b). For example, x²-25 can be factored as (x+5) (x-5). This method is based on …

And if what I'm saying, right now, sounds like a little bit of voodoo, I encourage you to watch some of the videos on perfect square trinomials, perfect square polynomials, some of the last two videos in this …

- [Narrator] We're going to learn to recognize and factor perfect square polynomials in this video. So for example, say I have the polynomial x squared plus six x plus nine.

Course: Algebra 1 > Unit 13 Lesson 8: Factoring quadratics with perfect squares Perfect square factorization intro Factoring quadratics: Perfect squares Perfect squares intro

Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. For example, rewrite √75 as 5⋅√3.

You'll see plenty of examples, learn important properties, and even understand how to tell perfect squares apart from non-perfect ones — all in a clear, step-by-step way that's easy to follow

Let's just think about what happens when we take the perfect square of a binomial, especially when the coefficient on the x term is not a 1. If we have ax plus b squared, what will this look like when we …

Completing the square means we can take any quadratic polynomial and force it to into the form of a perfect square trinomial. This video teaches you how to recognize what is a perfect square trinomial …

Worked examples of taking expressions with square roots and taking all of the perfect squares out of the square roots. For example, 2√ (7x)⋅3√ (14x²) can be written as 42x√ (2x).