7. It is a mnemonic use for the standard method
in multiplying two binomial
FOIL stands for First, Outer, Inner, and Last
8. First means multiply the terms which occur
first in each binomial.
Then Outer means multiply the outermost
terms in the product.
Inner means multiply the innermost two
terms.
Last means multiply the terms which occur
last in each binomial.
Then simplify the products and combine
any like terms which may occur.