Algebraic Expansion/Examples/(x + 1)^2/Proof 2/Mistake

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Source Work

2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.):

expression 1.


Mistake

\(\ds \paren {x + 1}^2\) \(=\) \(\ds \paren {x + 1}] \paren {x + 1}\)
\(\ds \) \(=\) \(\ds x \paren {x + 1} + 1 \paren {x + 1}\)
\(\ds \) \(=\) \(\ds x^2 + 2 x + 1\)


Correction

A rogue right square bracket has been introduced into the first line of the derivation above.


This glitch does not appear in the second edition.


Sources