Mathematical fallacy (inspired)

In the following 6 lines, it is given that a=ba=b:

a2b2=a2ab(a+b)(ab)=a(ab)(a+b)=aa+a=a2a=a2=1 { a }^{ 2 }-{ b }^{ 2 }= { a }^{ 2 }-ab\\ \\ \Rightarrow (a+b)(a-b) = a(a-b)\\ \\ \Rightarrow (a+b) = a\\ \\ \Rightarrow a+a = a\\ \\ \Rightarrow 2a = a\\ \\ \Rightarrow 2 = 1

Which line is wrong?

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