-Assume that we have two variables a and b, and that: a = b
-Multiply both sides by a to get: a2 = ab
-Subtract b2 from both sides to get: a2 – b2 = ab – b2
-Therefore (a + b)(a – b) = b(a – b)
-Since (a – b) appears on both sides, we can cancel it to get: a + b = b
-Since a = b (that’s the assumption we started with), we can substitute b in for a to get: b + b = b
-Combining the two terms on the left gives us: 2b = b
-Since b appears on both sides, we can divide through by b to get: 2 = 1

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