Answer:
[tex]x^3-8x^2[/tex]
Step-by-step explanation:
We have been given two functions. We are asked to find the product of both functions.
[tex]f(x)=x^2[/tex] and [tex]g(x)=x-8[/tex]
[tex]f(x)\cdot g(x)=x^2(x-8)[/tex]
Now, we will use distributive property as:
[tex]f(x)\cdot g(x)=x^2\cdot x-x^2\cdot 8[/tex]
[tex]f(x)\cdot g(x)=x^3-8x^2[/tex]
Therefore, the product of our given functions would be [tex]x^3-8x^2[/tex].