If a≠b and a·b≠0, which of the following may be true? Choices.
A) a/b=−b/a B) a^2=−b^2 C) (a−b)^2<0 D) a−b=b−a E) (a+b)(a−b)=0
A and B are the same, but how are they wrong? Those equations still makes sense because we're not told whether a and b are integers only.   Consider a = \sqrt{-5} and b= \sqrt{5}   So, a^2 = -5   and b^2 = 5   Therefore, a^2 = - b^2 ;   ANSWER:a^2=−b^2
<result>B</result>
If a≠b and a·b≠0, which of the following may be true?