a, b, c are integers, |a| ≠ |b| ≠|c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc - (a + b + c)]?
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Question

a, b, c are integers, |a| ≠ |b| ≠|c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc - (a + b + c)]?

Accepted Answer

731. |a| ≠ |b| ≠|c| and -10 ≤ a, b, c ≤ 10 Expression : [ a b c − ( a + b + c ) ] [abc - (a + b + c)] [ ab c − ( a + b + c )] For maximum value, two of a,b and c should be negative, as all three negative will make abc negative. Thus, max value will occur if a = − 10 , b = − 9 , c = 8 a = -10 , b = -9 , c