Respuesta :

Answer:

=8x^3+27

Step-by-step explanation:

First you are going to multply 2x by all of the other numbers in the 2nd parentheses, then do the same with 3. By doing this you should get and answer then combine like terms.

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By taking the direct multiplication, we will see that the correct option is the first one:

8x^3 + 27.

How to take the product of polynomials?

Here you need to remember the property.

[tex]a^n*a^m = a^{n + m}[/tex]

Now let's look at our product:

[tex](2x+3)*(4x^2-6x+9)[/tex]

First, we expand it:

[tex]2x*4x^2-2x*6x+2x*9 + 3*4x^2 - 3*6x + 3*9\\[/tex]

Now we use the above property to find the correct exponent for each term:

[tex]8x^3 - 12x^2 + 18x + 12x^2 - 18x + 27\\\\8x^3 + 27[/tex]

So the correct option is the first one.

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886

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