Sunday, February 19, 2012

How do we factor the difference of squares ?

Factor:   x^2 - 9
Both x^2 and 9 are perfect squares. Since subtraction is occurring between these squares, this expression is the difference of two squares. This is where the term : Difference comes from.
What times itself will give x^2 ?  The answer is x.
What times itself will give 9 ?  The answer is 3. In order words the square root of 9 is 3 . 

The factors are (x + 3) and (x - 3).
Answer:  (x + 3) (x - 3)  or   (x - 3) (x + 3)  Order doesn't matter. 

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