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