Can Tunde Saporu retain the title of the math guru on samimath ( see http://samimath.com/forums/math-forum/#guru ) ? Let us wait and see
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The first person to solve this puzzle will be the New Math Guru on Samimath.com
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PUZZLE: SPOT THE MISTAKE

2 + 2 is not equal to 2

3 + 3 is not equal to 3

Suppose a=b. With this equation, I will
prove that a + b = b in four steps.

Find out where (in which step) I went
wrong
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Step one: if a=b, then a² = ab.
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Step two: Deduct b² from both: (a² – b²) = (ab – b²).
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Step three: Difference of two squares :
(a + b) (a – b) = b (a – b).
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Step four: Divide both sides by (a-b):

a + b= b.
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How is this possible?

In which step lies the mistake?
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