binomial theorem en · PROPN
Meanings
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A formula giving the expansion of a binomial such as (a+b) raised to any positive integer power, i.e. (a+b)ⁿ. It's possible to expand the power into a sum of terms of the form axᵇyᶜ where the coefficient of each term is a positive integer. For example
(x+y)⁴;=;x⁴,+,4x³ʸ,+,6x²y²,+,4xy³,+,y⁴.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| the binomial theorem | canonical | lexicographic |
Translations (13)
ar مُبَرْهَنَةُ ذَاتِ الْحَدَّيْنِ (formula giving the expansion of an alegraic sum raised to any positive integer power) · de binomischer Lehrsatz (formula giving the expansion of an alegraic sum raised to any positive integer power) · fi binomilause (formula giving the expansion of an alegraic sum raised to any positive integer power) · ar مُبَرْهَنَةُ ذِي الْحَدَّيْنِ (formula giving the expansion of an alegraic sum raised to any positive integer power) · ar مُبَرْهَنَةُ الثُّنَاحَدِّيِّ (formula giving the expansion of an alegraic sum raised to any positive integer power) · sv binomialsats (formula giving the expansion of an alegraic sum raised to any positive integer power) · ar نَظَرِيَّةُ ذِي الْحَدَّيْنِ (formula giving the expansion of an alegraic sum raised to any positive integer power) · de Binomialtheorem (formula giving the expansion of an alegraic sum raised to any positive integer power) · ar نَظَرِيَّةُ ذَاتِ الْحَدَّيْنِ (formula giving the expansion of an alegraic sum raised to any positive integer power) · es teorema del binomio (formula giving the expansion of an alegraic sum raised to any positive integer power) · cmn 二項式定理 /二项式定理 (formula giving the expansion of an alegraic sum raised to any positive integer power) · is tvíliðusetning (formula giving the expansion of an alegraic sum raised to any positive integer power) · ar نَظَرِيَّةُ الثُّنَاحَدِّيِّ (formula giving the expansion of an alegraic sum raised to any positive integer power)