(x + 1)^2 / (x - 2) =>

(x - 2 + 3)^2 / (x - 2) =>
((x - 2) + 3)^2 / (x - 2) =>
((x - 2)^2 + 6 * (x - 2) + 9) / (x - 2) =>
(x - 2)^2 / (x - 2) + 6 * (x - 2) / (x - 2) + 9 / (x - 2) =>
x - 2 + 6 + 9 / (x - 2) =>
x + 4 + 9 / (x - 2)

As x goes to infinity, 9/(x - 2) goes to 0

y = x + 4

correct