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This step is not the source of the fallacy.This follows from the
previous step (a^2 + a^2 = a^2 + ab) by appplying the
simplification a^2 + a^2 = 2 a^2.
Why don't you go back to the list of steps in the
proof and see if you can identify which one
is wrong, now that you know it isn't this one?
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