Respuesta :

Answer:

[tex]3x^2-3x-60[/tex]

Step-by-step explanation:

Given: [tex]3(x+4)(x-5)[/tex]

Let's use the distributive property to multiply [tex](x+4)(x-5)[/tex] together since they are right next to each other. We can use the FOIL method.

[tex](x+4)(x-5)\\x^2-5x+4x-20\\x^2-x-20[/tex]

Now that we simplified that, we still have to multiply everything by the value of [tex]3.[/tex]

[tex]3(x^2-x-20)\\3x^2-3x-60[/tex]

Now, you could have left the answer as [tex]3(x^2-x-20)[/tex] since it is factored, but the problem wants us to find the product, so we need to completely simplify.

3x + 3x4 ( x - 5 )
= 3x + 12 ( x - 5 )
= 3x^2 - 15x + 12x - 60
= 3x^2 - 3x - 60