# 1+1 = 1?

Algebra Level 3

Look at this proof

let x = 1 , $$x^2$$=1 , $$x^2=x$$-----------------------------(1)

then $$x^2-1=x-1$$ , $$(x-1)(x+1)=x-1$$-----------------(2)

so , $$x+1 = 1$$ , which is equal to 2=1 Q.E.D---------(3)

Where did the "proof" get wrong ?

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