Flashcard 2 - Math Reasoning Flashcard Set for the GED Test

A difference of two squares is a binomial in which the two terms are perfect squares separated by a subtraction sign. The binomial factors to the product of the sum of its roots and the difference of its roots: \((x^2 - y^2) = (x+y)(x-y)\)

Example:

What are the factors of \(9x^2 - 25\)?

Take note that this is a difference of the two squares, \((3x)^2\) and \((5)^2\).

The factors are: \((3x+5)(3x-5)\)