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Since both a and b are nonzero integers, a^2 and b^2 are both positive, and hence the sum a^2 + b^2 is also positive. Statement I is true. However, the difference a^2 - b^2 might not be positive. For example, if a = 1 and b = 2, then a^2 - b^2 = 1 - 4 = -3, which is not positive. Statement II is not true. Finally, if a = 1 and b = 1, then (a - b)^2 = (1 - 1)^2 = 0, which is not positive. Statement III is not true either.BTGmoderatorDC wrote: ↑Mon May 18, 2020 5:59 pmIf both a and b are nonzero integers, which of the following must be positive?
I. a^2 + b^2
II. a^2 – b^2
III. (a – b)^2
A. I only
B. II only
C. III only
D. I and II
E. I, II, and III
OA A
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