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
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): expansion: 1.