Mathematical Fallacy 2: Is 3458=17293458=1729?

Algebra Level 1

17292=17291729(1)1729217292=1729172917292(2)(1729+1729)(17291729)=1729(17291729)(3)(1729+1729)0=17290(4)3458=1729\begin{aligned} 1729^2=&1729 \cdot 1729 \quad & \ldots (1) \\ 1729^2-1729^2=&1729 \cdot 1729-1729^2 \quad & \ldots (2) \\ (1729+1729)(1729-1729)=& 1729(1729-1729) \quad & \ldots (3) \\ (1729+1729)\cdot \cancel{0}=&1729\cdot \cancel{0} \quad & \ldots (4) \\ 3458=&1729 \end{aligned}

The above shows my attempt to prove that 3458=1729 3458 = 1729 . In which of these steps did I make a flaw in my logic?

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