Factoring Differences of Squares

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Factoring Differencesof Squares

• a2 b2 (a b)(a b)

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REMEMBER THISPRODUCT OF A SUM AND DIFFERENCE

• Multiplying the sum and difference of the same
  two terms results in a special product called the
  difference of squares. Watch

Notice same terms, opposite Signs.
Because the terms are the same and the signs
are opposite, the middle terms cancel out.
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There is a short-cut for the Difference of Two
Squares?

• Answer these questions for each problem.
• First term a perfect square?
• Last term a perfect square?
• Minus between them?
• If they all answer yes, then just write your
  answers!! Watch

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Check each piece of the problem!! If they are ALL
perfect squares, then follow the same steps!!
You just have to factor top and bottom for each
fraction!!
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Check each piece of the problem!! If they are ALL
perfect squares, then follow the same steps!!
You just have to factor top and bottom for each
fraction!!
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Sometimes there wont appear to be a difference
of two squares..

• So, first check for a GCF.
• Now check ( ) for the difference of two
  squares.

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Try these..
No
Difference?
Perfect Square?
Perfect Square?
Perfect Square?
Perfect Square?
Yes
No
Yes
Yes
Is there a GCF?
Is there a GCF?
No
No
PRIME
PRIME