find and simplify expression if f(x) = x^2-1 f(x-1)

Question

find and simplify expression if f(x) = x^2-1 f(x-1)

Answer 1

f(x) = x²-1

then

f(x-1) = (x-1)² - 1

expand (x-1)²

f(x-1) = (x² - 2x + 1) - 1

f(x-1) = x² - 2x or

f(x-1) = x(x - 2)