Speakur

Word Pronunciation & Dictionary

binomial theorem

Word Rarity Rare

Frequency: Zipf frequency 2.66 in modern English

Syllables
bi-no-mi-al the-o-rem
IPA
24
Scrabble Score
15
Letters
6
Syllables
11
Unique Chars

Meaning

name

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

Example Sentences

  • "(x+y)⁴;=;x⁴,+,4x³ʸ,+,6x²y²,+,4xy³,+,y⁴."

Inflected Forms

the binomial theorem (canonical)

Questions

What does binomial theorem mean?
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

How to pronounce binomial theorem

  1. Open the pronunciation page — Open the Speakur entry for “binomial theorem”.
  2. Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
  3. Play the audio — Click Play to hear reference audio for “binomial theorem”.
  4. Repeat and practice — Say “binomial theorem” aloud, matching stress and vowels until it feels natural.