Respuesta :

We are given the following function:

[tex]p(x)=3x^2-4[/tex]

We are asked to determine the value of p(8a). That means that we will substitute the value of "x = 8a" in the function, like this:

[tex]p(8a)=3(8a)^2-4[/tex]

Now, we solve the exponents using the following property:

[tex](ab)^x=a^xb^x[/tex]

Applying the property we get:

[tex]p(8a)=3(8^2a^2)-4[/tex]

Solving the products we get:

[tex]p(8a)=192a^2-4[/tex]

Since we can't simplify any further this is the final answer.

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