Answer:
![6a^2-a-12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/61h8lt54t6ix7155wimcr3m2qayajn2ygt.png)
Explanation:
we have the expression:
![(2a - 3)(3a + 4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fraynywvt4wzywgfwq52oz8km5bq59uwj0.png)
to solve this problem we need to multiply the elements of the first parenthesis (2a -3) by the elements of the second parenthesis (3a + 4), and we will get the following:
![(2a - 3)(3a + 4)=2a*3a+2a*4-3*3a-3*4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e8bmx1t3mhj7ylxikilroiwr06fvde2u7q.png)
and simplifying the resulting expression we get:
![(2a - 3)(3a + 4)=6a^2+8a-9a-12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hybn9eetmt2ds1v8eny34mpf6xwddeddh8.png)
finally, putting together like terms, we get the answer in standard form:
![(2a - 3)(3a + 4)=6a^2-a-12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r5ftcdgo7vq7ci6c5k50z9zf1l2icfg4b9.png)