This is a free lesson from our course in Algebra I
In this part of lesson you'll learn how to multiply two binomials using the
FOIL method.The "FOIL" method is useful ONLY for a twoterm polynomial times another twoterm polynomial.
The letters FOIL come from the words "first", "outer", "inner", "last", and are a memory device for helping you
remember how to multiply horizontally, without having to write out the distribution like I did,
and without dropping any terms.Here is what FOIL stands for: (x + 2)(x + 5) Where, both 'x' are the first element, 2 and second x are the inner element,
first x and 5 are the outer element and 2 and 5 are the last elements. (More text below video...)
(Continued from above) That is, FOIL tells you to multiply the first terms in each of the parentheses,
then multiply the two terms that are on the "outside" (furthest from each other),
then the two terms that are on the "inside" (closest to each other), and then the last terms in each of the parentheses. The lesson explains
that to multiply two binomials, you need to use the distributive law and then combine
like terms. For example, when multiplying (2a + 7b)(3a
+ 5b), we should follow the steps below:
• use distributive to law to arrive at 2a(3a + 5b) and
7b(3a + 5b)
• use multiplication to simplify the expressions to 6a^{2} + 10ab
and 21ab + 35b^{2}
• add like terms, which results in 6a^{2}+ 31ab + 35b^{2}
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