Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 490: 23

$b^{2} -12b +27$

When we use the FOIL method, we first multiply the first terms written in each parenthesis. We then multiply the outer terms, meaning the first term in the first parenthesis and the second term in the second parenthesis. We then multiply the inner terms, meaning the second term in the first parenthesis and the first term in the second parenthesis. We then multiply the last two terms, which are the second terms in both parenthesis. We then combine like terms to obtain the answer: $b^{2} -12b +27$