binomial theorem definition

  • noun:
    • Mathematics The theorem that specifies the growth of any energy (a + b)m of a binomial (a + b) as a certain amount of services and products aibj, such as for instance (a + b)2 = a2 + 2ab + b2.
    • A formula giving the development of a binomial such as for example raised to any positive integer energy, in other words. . It is possible to increase the ability into a sum of regards to the form in which the coefficient of every term is a positive integer. For instance:
    • View under Binomial.
    • a theorem offering the growth of a binomial raised to confirmed energy
    • Mathematics The theorem that specifies the expansion of any power (a + b)m of a binomial (a + b) as a specific sum of items aibj, eg (a + b)2 = a2 + 2ab + b2.
    • A formula giving the expansion of a binomial such as for example raised to your good integer energy, i.e. . It is possible to increase the ability into a sum of terms of the shape where the coefficient of every term is a confident integer. Including:
    • View under Binomial.
    • a theorem giving the growth of a binomial raised to a given power
  • adjective:
    • the theorem which expresses regulations of formation of any energy of a binomial.
    • the theorem which expresses regulations of development of every energy of a binomial.

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  • Hypernym for "binomial theorem"
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