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4 March, 04:00

How to multiply two binomials

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  1. 4 March, 04:25
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    When multiplying 2 binomials, use the FOIL method. Here's an example:

    (5x - 1) (3x - 2)

    FOIL stands for: First, Outer, Inner, Last.

    1) Multiply the first numbers in each binomial.

    5x • 3x = 15x^2

    2) Multiply the outer numbers in each binomial.

    5x • - 2 = - 10x

    3) Multiply the inner numbers in each binomial.

    -1 • 3x = - 3x

    4) Multiply the last numbers in each binomial.

    -1 • - 2 = 2

    After doing this, put all of your new terms in the order in which they were solved. The original problem then becomes this:

    15x^2 - 10x - 3x + 2

    Simplify this by turning (-10x - 3x) into - 13x.

    The final answer would be: 15x^2 - 13x + 2.
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