# Factor the following expression: x^2-9

Monday, July 19th, 2010

### Solution:

First recognize that this is in the form of (x^{2}-a^{2}), which can always be factored as (x+a)(x-a). If you multiply these two terms, you get x^{2}-ax+ax-a^{2}, which is equal to x^{2}-a^{2}.

So in this case, we can see that **a=3**,

so x^{2}-9

= x^{2}-3^{2}

= **(x+3)(x-3)**

Tags: 9th Grade, Algebra Answers, Algebra Homework, Math, Math Answers

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