Question

Simplify the expressions in each pair. (2 marks each) (Show your work)

i) (x^2-x-2)/(x+1),g(x)=(x-2)
My work on simplifying the functions:
(x-1)(x+2)/(1)
(x-1)(x+2)

ii) (x^2-x-12)/(x+3), g(x)=(x^2-6x+8)/(x-2)
My work on simplifying the functions:
(x-2)(x+6)/(3)
(x-4)

Can you someone show me where I went wrong and show me the correct answer if I did go wrong.

Answer 1

(x-2)(x+1)/(x+1) = x-2 = g(x)

(x-4)(x+3)/(x+3) = x-4

g(x) = (x-2)(x-4)/(x-2) = x-4 also