English-Finnish translations for binomial theorem

• binomilause

Definition of binomial theorem

• A formula giving the expansion of a binomial such as $$ raised to any positive integer power, i.e. $^\{n\}$. It's possible to expand the power into a sum of terms of the form $ax^\{b\}y^\{c\}$ where the coefficient of each term is a positive integer. For example

Examples

• math>(x+y)^4 \;=\; x^4 \,+\, 4 x^3y \,+\, 6 x^2 y^2 \,+\, 4 x y^3 \,+\, y^4.

Related words

• binomial
• binomial distribution
• binomial name
• binomial coefficient
• binomial expansion
• binomial nomenclature
• binomial formula