If integers e and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. eb + b^2
II. (e + b)^2
III. e + b Choose the correct choice from the following choices
A) I only	B) II only	C) III only	D) I and II only	E) I, II, and III
Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.   I. eb + b^2 --&gt; if e=1 and b=2 then eb + b^2=6, which is a factor of 30. OK;   II. (e + b)^2 --&gt; (e + b)^2 is a perfect square, no perfect square (but 1) is a factor of 30. DISCARD;   III. e + b --&gt; if e=1 and b=2 then e + b=3, which is a factor of 30. OK.   Answer: II only.
<result>B</result>
If integers e and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. eb + b^2
II. (e + b)^2
III. e + b