Answer:
Step-by-step explanation:
Given functions:
- f(x) = x³ - 4x² + 6x
- g(x) = 5x³ + 2x² - 3x
f(x) - g(x) is the difference of the above expressions:
- f(x) - g(x) =
- x³ - 4x² + 6x - (5x³ + 2x² - 3x ) = ⇒ Substitute
- x³ - 4x² + 6x - 5x³ - 2x² + 3x = ⇒ Open parenthesis
- x³(1 - 5) - x²(4 + 2) + x(6 + 3) = ⇒ Combine like terms
- -4x³ - 6x² + 9x ⇒ Simplify
