Are you smarter than me? 28 Angry Birds

Algebra Level 4

Two sportsman \(A\) and \(B\) went out for hunting and brought home 10 birds. The sum of squares of the number of shots fired by each was 2880, and the product of the number of shots fired by each was 48 times the product of number of birds killed by each. If \(A\) had fired as often as \(B\) and \(B\) as often as \(A,\) then \(B\) would have killed 5 more birds than \(A.\) If the number of birds killed by \(A\) and \(B\) are \(a\) and \(b,\) respectively, then what is the value of \(ab(a-b)-b?\)

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