Simplify the following expression (a+2)(3a-1)

3a^2+5a-2.

To do this problem would require a method called FOIL. If you are not familiar this means First Outside Inside Last. You multiply the First terms, 3a and a, which results in 3*a*a or 3a^2. Next you multiply the Outside terms, a and -1, which results in -a. Next multiply the Inside terms, 2 and 3a, to result in 6a. Finally multiply the Last terms, 2 and -1, which gives us -2. If we put all these terms together we get 3a^2 -a +6a -2 which we can then simplify to 3a^2+5a-2