The sum of a - b +ab, b-c+bc and c-a +ac is ...
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(a - b + ab) + (b - c + bc) + (c - a + ac)
a - b + ab + b - c + bc + c - a + ac
a - a - b + b - c + c + ab + bc + ac
= ab + bc + ac
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SUM.......
= a-b +ab + b-c+ bc+c-a+ac
=a (-b +b ) - c(b-b+a-a)
=a-c. answer
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