Comparison:

a) 2n and 2+n:

- They would be equal when n = 2. 2n = 2+n.

- They would not be equal when n = 3, because by then, 2n > 2+n.

- They would not be equal when n = -4, because by then, 2n < 2+n.

b) 2n and n^2:

- They would be equal when n = 2. 2n = n^2.

- They would not be equal when n = 5, because by then, 2n < n^2.

- They would not be equal when n = 1, because by then, 2n > n^2.

c) 2n+2 and 2(n+2):

- They are never equal as 2(n+2) will always be greater than 2n+2 by 2.

d) 2n^2 and (2n)^2:

- They are only equal when n = 0. 2n^2 = (2n)^2.

- Unless n = 0, then the two expressions will never be equal.

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