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The Logic of a Mathematical Equation

Please response to the following: Reason each step and explain the mathematical mistake if there is one.

(a+b)(a-b) = b(a-b)

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(a+b)(a-b)=b(a-b)==>a+b=b by dividing both sides by a-b
So a+b=b==>a=0.
Obviously, if ...

Solution Summary

This solution is comprised of 55 words and examines the statement (a+b)(a-b) = b(a-b). All work is shown.