SOLUTION: How would I use the FOIL system

Question 134867This question is from textbook Glencoe Algebra 2
: How would I use the FOIL system This question is from textbook Glencoe Algebra 2

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
FOIL stands for First, Outside, Inside, Last. Used when multiplying two binomials.

For example:

The x in the first binomial and the x in the second binomial are FIRST:

The x in the first binomial and the -1 in the second are OUTSIDE:

The +2 in the first binomial and the x in the second are INSIDE:

The +2 in the first binomial and the -1 in the second are LAST:

Multiply the FIRSTs:

Multiply the OUTSIDEs:

Multiply the INSIDEs:

Multiply the LASTs:

Add the four products:

Collect like terms:

So:

You really don't have to do multiplication of binomials in any particular order, but FOIL gives you a systematic approach that ensures that you don't either forget one of the products or duplicate any of the products. Besides, LIOF doesn't spell anything.

Hope that helps,
John
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