Given:
[tex](a+b)(c+d+e)[/tex]We multiply each term of the first factor by each term of the other factor:
[tex]\begin{gathered} =a\cdot c+a\cdot d+a\cdot e+b\cdot c+b\cdot d+b\cdot e \\ =ac+ad+ae+bc+bd+be \end{gathered}[/tex]Answer: ac + ad + ae + bc + bd + be
