[tex]\text{Use FOIL method:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(ab-9)(ab+8)=(ab)(ab)+(ab)(8)+(-9)(ab)+(-9)(8)\\\\=a^2b^2+8ab-9ab-72\\\\=\boxed{a^2b^2-ab-72}[/tex]