Answer:
f(x) - g(x) = x³ - 2x² + 2x -2.
Step-by-step explanation:
Given : f(x) = 2x³ - 4x² + 2 and g(x) = x³ - 2x² - 2x + 4.
To find : f(x) - g(x) .
Solution : We have f(x) = 2x³ - 4x² + 2 and g(x) = x³ - 2x² - 2x + 4.
f(x) - g(x) = 2x³ - 4x² + 2 - ( x³ - 2x² - 2x + 4).
f(x) - g(x) = 2x³ - 4x² + 2 - x³ + 2x² + 2x -4.
Combine like terms
f(x) - g(x) = 2x³ - x³ - 4x² + 2x² +2x + 2 -4.
f(x) - g(x) = x³ - 2x² + 2x -2.
Therefore, f(x) - g(x) = x³ - 2x² + 2x -2.
