We have the following expression:
[tex]a^2b+ab+b^2[/tex]By substituting a=2 and b=-3 into this expression, we have
[tex](2)^2(-3)+(2)(-3)+(-3)^2[/tex]which gives
[tex]\begin{gathered} (4)(-3)-6+9 \\ -12-6+9 \\ -18+9 \\ -9 \end{gathered}[/tex]Therefore, the answer is option A: -9