Posted by **Cindy** on Monday, July 19, 2010 at 1:14pm.

How do you determine if a polynomial is the difference of two squares?

- MAT117 -
**Henry**, Monday, July 19, 2010 at 5:02pm
The difference of 2 squares is a poly-

nomial with 2 terms separated by a minus sign. Both terms are perfect

squares. For example, X^2 - 4 is the difference of 2 squares; because you

can take the sqrt of both terms with

nothing left under the radical.

2X^2 - 4 is not a perfect square; when

you take the sqrt of 2X^2,you will have sqrt2 left under the radical.

X^2 -4 = (X + 2)(X - 2) in factored

form. If you remove parenthesis and

combine like-terms, you will return

to original form.

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