Pure math, 2 = 1!
Algebra
Level
1
Consider the following equation (proved).
\[a = b \\ a \times a = b \times a \\ a^{2} = ab \\ a^{2} - b^{2} = ab - b^{2} \\ (a + b)(a - b) = b(a - b) \\ a + b = b \\ b + b = b \\ 2b = b \\ 2 = 1\]
Is the proof correct?
by
Vicky Vignesh