Answer: 6[tex]a^{2}[/tex]+a-12
Step-by-step explanation:
First, you want to distribute (2a+3)(3a-4) ---> 2a(3a-4) + 3a(3a-4)
That will get you 6[tex]a^{2}[/tex]-8a+9a-12
Next, you will want to combine like terms to get 6[tex]a^{2}[/tex]+a-12
Since you cannot simplify that any further, 6[tex]a^{2}[/tex]+a-12 is your answer.
