Answer:
The answer to your question is: 2ah + h² - 3h
Step-by-step explanation:
Data
f(x) = x² - 3x
Find
f(a + h) - f(a)
Process
f(a + h) = (a + h)² - 3(a+ h)
f(a + h) = a² + 2ah + h² - 3a - 3h Substitution
f(a) = (a)² - 3(a) = a² - 3a
f(a + h) - f(a) = a² + 2ah + h² - 3a - 3h - ( a² - 3a ) Simplifying
f(a + h) - f(a) = a² + 2ah + h² - 3a - 3h - a² + 3a
f(a + h) - f(a) = 2ah + h² - 3h
