Respuesta :

Answer:

6a² - a - 12

Step-by-step explanation:

FOIL Method.

First (2a * 3a) = 6a²

Outer (2a * 4) = 8a

Inner (-3 * 3a) = -9a

Last (-3 * 4) = -12

6a² + 8a - 9a -12

6a² - a - 12

Answer:

[tex]6a^2-a-12[/tex]

Step-by-step explanation:

we have the expression:

[tex](2a - 3)(3a + 4)[/tex]

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:

[tex](2a - 3)(3a + 4)=2a*3a+2a*4-3*3a-3*4[/tex]

and simplifying the resulting expression we get:

[tex](2a - 3)(3a + 4)=6a^2+8a-9a-12[/tex]

finally, putting together like terms, we get the answer in standard form:

[tex](2a - 3)(3a + 4)=6a^2-a-12[/tex]