Answer
6x + 3h
3(w + x)
Work Step by Step
f(x) = 3x² - 5
f(x + h) = 3(x + h)² - 5 = 3x² + 6hx + 3h² - 5
[f(x + h) - f(x)]/h = [(3x² + 6hx + 3h² - 5) - (3x² - 5)]/h =
= (6hx + 3h²)/h = 6x + 3h
f(w) = 3w² - 5
[f(w) - f(x)]/(w - x) = [(3w² - 5) - (3x² - 5)]/(w - x) =
= (3w² - 3x²)/(w - x) = 3(w + x)(w - x)/(w - x) = 3(w + x)
