As the examples in the previous section reveal, you can proceed methodically when you multiply binomial terms. The most universally adopted method in this respect is identified with the acronym FOIL (First, Outer, Inner, and Last). Figure 8.3 illustrates how the FOIL approach to multiplication works.
As an example of the application of the FOIL technique of multiplying binomials, consider this problem:
(m + 4)(m2 + 9)
F O I L
= m (m2)+ m (9)+ 4(m2)+ 4(9)
= m3 + 9m + 4m2 + 36
Figure 8.4 illustrates the relationships that exist ...