If |a+b|=|a-b|, then a*b must be equal to:  Select the correct option
A) 1	B) -1	C) 0	D) 2	E) -2
so, let b≠0b≠0   Distance of aa from bb, equals the distance of aa from -bb   Draw this on a number line, aa must equal zero   same logic holds for a≠0a≠0   So either aa or bb = 0, ab=0ab=0   or just solve using our normal absolute value method, two cases:   (a+b)=(a−b)(a+b)=(a−b)   b=0   −(a+b)=(a−b)−(a+b)=(a−b)   −a−b=a−b−a−b=a−b   a=0   so ab=0   ANSWER:0
<result>C</result>
If |a+b|=|a-b|, then a*b must be equal to: