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Question

Add the following: a-b+ab,b-c+bc,c-a+ac


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Solution

To add : a-b+ab,b-c+bc,c-a+ac

On combining the like terms and adding them we get

=(ab+ab)+(bc+bc)+(ca+ac)=ab+ab+bc+bc+ca+ac=aa+bb+cc+ab+bc+ca=0+0+0+ab+bc+ca=ab+bc+ca

Hence, On adding a-b+ab,b-c+bc,c-a+ac we get ab+bc+ca.


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