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24 June, 02:21

When you multiply a difference of two squares, why is your answer a binomial instead of a trinomial like when you multiply the sum of two squares

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  1. 24 June, 02:49
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    Difference of two squares:

    (a+b) (a-b) = a² - b²

    (a-b) (a+b) = a² - b²

    The difference of two squares results to a binomial because the middle term cancels each other out.

    example:

    a = 2; b = 3

    (2 - 3) (2 + 3) = 2 (2+3) - 3 (2+3) = 4+6-6+9 = 4 + 0 + 9 = 4 + 9
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