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

Example of Algebraic Expansion

$\paren {x + 1}^2 = x^2 + 2 x + 1$


Proof

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

$\blacksquare$


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): expansion
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): expansion: 1.
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.