Funny mathematics

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If A = 1 and B = 1 then A = B.

Multiply each side of the equation by B
AB = B²

Sustract A² at both sides of the equation
AB - A² = B² - A²

Factoring
A*(B-A) = (B-A)*(B+A)

Simplyfing redundant terms
A = B + A

Since we start off within the assumption that A=1 and B=1..
1 = 2

!!!!!!!
1 = 2