can you help me with this math problem?

Question

Provide a counterexample for each statement.
1. (n + 2)^3 = n^3 + 2^3

2. x^2 > x for all values of x

Answer 1

1)
(n + 2)^3 = n^3 + 2^3
if n = 3
(3 + 2) ^3 = 3^3 + 2^3
5^3 = 27 + 8
125 = 35
statement is false

2)
x^2 > x
x = .50
.50^2 > .50
.25 >.50
statement is false

Answer 2

Let n=2
Then 4^3 = 2^3 + 2^3
256 = 16 which is false

Let x = 0
then 0 > 0 which is false

Answer 3

1, simpliest one i when x =1, (1+2)^3 does not equal 1^3 +2^3
2, any number wit mod less than 1, x^2 is smaller than x.

Answer 4

1.
(1 + 2)³ ≠ 1³ + 2³
3³ ≠ 1 + 8
27 ≠ 9

(I don't think this works for any number!)

2.
0.1² is not > 0.1
0.01 is not > 0.1

so:
1) 1
2) 0.1 (or anything else lower than 1)