Definition:Algebraic Expansion

Definition

An (algebraic) expansion is a algebraic expression written as the sum of terms.

The word is also used for the actual process of converting the power of a multinomial, in order to obtain such an expression.

Examples

Example: $\paren {x + 1}^2$

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

Example: $\paren {x + 1}^3$

$\paren {x + 1}^3 = x^3 + 3 x^2 + 3 x + 1$

Also see

• Results about algebraic expansions can be found here.

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.