Difference of Squares Factoring

in #math7 years ago (edited)

Hi there. This post is about the difference of squares factoring method.


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Difference of Squares Factoring



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Factoring and expanding are opposite algebra operations of each other.

Square Numbers


With the difference of squares factoring, we deal with mostly even (positive) exponents and square numbers. It is helpful to know your square numbers such as 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121 and 144 which correspond to their (respective) square roots 1, 2, 3, 4, ..., 12.

Remember that the square root of x (with x at least 0) can be represented with the square root sign or with exponents.


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Note



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Examples


Here are some examples which showcase how this factoring method works.

Example One


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Example Two


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Example Three


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Practice Problems



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Solutions



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Extension



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