Factoring 16 Sum of 2 squares is prime

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by YourMathGal
  • Currently 4.0/5 Stars.
6337 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, students learn why the belief that two perfect squares added together can be factored is incorrect. By providing a clear example, the instructor demonstrates that factoring a squared plus b squared is not possible. However, the instructor points out that the difference of two squares can be factored, as shown in a numerical example. Ultimately, this lesson emphasizes the importance of understanding the difference between these two concepts in order to correctly factor polynomials.

Lesson Description:

Emphasizes that the sum of two perfect squares usually is nonfactorable and is prime.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • Why can you not factor the sum of squares?
  • Why does (a + b)^2 NOT equal a^2 + b^2?
  • What does (a + b)^2 equal?
  • Why can you not factor a^2 + b^2?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson breaks a common student misconception -- that squaring the sum of two terms is the same as the sum of each term squared. Or in other words, that (a + b)^2 equals a^2 + b^2. This video explains why that is not the case, and therefore, why a^2 + b^2 cannot be factored.