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

  • MAT117 - ,

    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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