algebra question

Question

35.If f(x) = x^2− x express f(a− 2) in factored form.

Answer 1

f(x) = x^2 - x

f(a - 2) = (a - 2)^2 - (a - 2)

f(a - 2) = (a - 2)(a - 2) - (a - 2)

f(a - 2) = a^2 - 2a -2a + 4 - a + 2

f(a - 2) = a^2 -5a + 6

f(a - 2) = (a - 2)(a - 3)

were there is an x, (a - 2) is substituted in with parentheses foil and/or distribute.

Answer 2

35.If f(x) = x^2− x express f(a− 2) in factored form.

f(a-2) = (a-2)² - (a-2)

= (a-2)(a-2) - (a-2)(1)

= (a-2)(a-2-1)

= (a-2)(a-1)