If a, b and c are non-zero rational numbers, then the sum of all the possible values of |a|a+|b|b+|c|c is ______.
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Detailed Solution
Let x=|a|a+|b|b+|c|cIf exactly one -ve , then x = 1.If exactly two -ve, then x = -1.If all three -ve, then x = -3.If all three +ve, then x = 3.Then the required sum is 0.