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 Suppose a = b + c

Multiply both sides by a - b and we get:

a2 - ab = ab + ac - b2 - bc

Move ac to the left side:

a2 - ab - ac = ab - b2 - bc

Factor both sides and we see:

a (a - b - c) = b (a - b - c)

Divide each side with (a - b - c) and we end up with:

a = b

 

So, folks, what did we do wrong?

 

 

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