Answer:
x³ +3x² -45x +81
Step-by-step explanation:
You want the simplified form of f(x)·g(x) when ...
The product of the two functions is ...
f(x)·g(x) = (x² +6x -27)·(x -3)
= x(x² +6x -27) -3(x² +6x -27)
= x³ +6x² -27x -3x² -18x +81
= x³ +(6 -3)x² +(-27-18)x +81
f(x)·g(x) = x³ +3x² -45x +81