Chapter 8.3, Problem 26P

Simplify each product using the FOIL method.

$(3w+12)(w+3)$

To determine

To simplify: $(3w+12)(w+3)$ using the FOIL method.

Answer to Problem 26P

  $3w^2+21w+36$

Explanation of Solution

Given information: $(3w+12)(w+3)$

Calculation:

  $\begin{array}{l}(3w+12)(w+3)\\ =3w\cdot w+3w\cdot 3+12\cdot w+12\cdot 3\\ =3w^2+9w+12w+36\\ =3w^2+21w+36\end{array}$

Thus, $(3w+12)(w+3)=3w^2+21w+36$