For integers a, b, and c, if ab = bc, then which of the following must also be true? Choose the correct answer
A) A=C	B) A^2*b=b*c^2	C) A/c=1	D) ABC>bc	E) ba+b+c=0
ab=bc   ab=bc --&gt; ab−bc=0.   A. If b−bc=0 then b(a−c)=0 and b(a−c)=0 then b=0 or a=ca.   B. If a^2*b=b*c^2 then b(a2−c2)=b(a2−c2)=0= b(a−c)(a+c)=0   C. If b(a−c)(a+c)=0. Now, since b=0b=0or a=c=a=c,then b(a−c). If (a+c)=b(a−c)(a+c) does equal to zero. So, we have that this options must be true.   Answer: A^2*b=b*c^2.
<result>B</result>
For integers a, b, and c, if ab = bc, then which of the following must also be true?