Algebraic Expansion/Examples/(x + 1)^2/Proof 2
Jump to navigation
Jump to search
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.