Start with the following simple equation: a=b (step 1) Multiply both sides by b: ab=b2 (step 2) Subtract a2 from both sides and factorize: ab-a2=b2-a2 (step 3) a(b-a)=(b+a)(b-a) (step 4) Simplify and add 1 to both sides: a=b+a (step 5) a+1=b+a+1 Now since a=b (the starting point of this proof), we can write this as: a+1=2a+1 And in the case where a=1, we have: 1+1=2+1 So, therefore, 1+1=3
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