Question

Could someone please help me how to get to a certain step when solving this kind of function.
I will provide the information below:)

Answer 1

How did this function f(x)=-6(x+4)(x-4)^3
become this f(x)=-6(x+4)(x^3-12x^2+48x-64) ?

Answer 2

well the cubic part has been expanded

\[(x - 4)^3 = (x -4)(x-4)(x-4) = (x^2 - 8x + 16)(x - 4)\]

and then you get

\[f(x) = (x + 4)(x^3 -12x^2 + 48x - 64)\]

Answer 3

Thanks for your help, I now understand:)