2. Catherine was proving that (2 + y22 - (y) = (x - y) for any x and y.
Her work is shown below.
(x2 + y)2 - (2xy) = (x2 - y)
** + 2x”y2 + y - 2x?y? = (x2 - y2)
** + y = (x + y2)
** + y* = (x2)2 + (y)
x + y = x + y
Circle Catherine's mistake(s) and justify your answer.