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2 = 1

How can 2 = 1 ?


First, recall

(a + b)(a – b)

= a2 – ab + ab – b2

= a2 – b2


Then let’s go:


a = b

a2 = ab

a2 – b2 = ab – b2

(a + b)(a – b) = b(a – b)

Cancel (a – b)

a + b = b

Remember a = b so

b + b = b

2b = b

2 = 1


What’s wrong?

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