Rewrite the function in standard form

F(x) = 2(x - 3)^3 + 9
make it into 5 easy steps

1. Expand the cube term using the formula (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3.

2. Expand the expression: 2(x^3 - 9x^2 + 27x - 27) + 9.
3. Distribute the coefficient 2 to each term inside the parentheses: 2x^3 - 18x^2 + 54x - 54 + 9.
4. Combine like terms: F(x) = 2x^3 - 18x^2 + 54x - 45.
5. Rewrite the function in standard form: F(x) = 2x^3 - 18x^2 + 54x - 45.