Two binomials when multiplied sometimes give only three terms because two terms are usually alike, as such, they related together to become a term.
For example, (2x^2 +x) and (3x+1) multiplied together to give,
[tex]\begin{gathered} (2x^2+x)(3x+1) \\ 2x^2(3x+1)+x(3x+1) \\ 6x^3+2x^2+3x^2+x \\ 6x^3+5x^2+x \end{gathered}[/tex]