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binomialtheorem

binomial theorem

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The answer BINOMIALTHEOREM (binomial theorem) has 3 possible clue(s) in existing crosswords.

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The word BINOMIALTHEOREM (binomial theorem) is NOT valid in any word game. (Sorry, you cannot play BINOMIALTHEOREM (binomial theorem) in Scrabble, Words With Friends etc)

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Definitions of binomial theorem in various dictionaries:

noun - a theorem giving the expansion of a binomial raised to a given power

BINOMIAL THEOREM - That which is considered and established as a principle; hence, sometimes, a rule.

BINOMIAL THEOREM - In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theor...

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Possible Crossword Clues
Mathematical formula working out mobile home grant one's given for good
What Moriarty well knew would upset Holmes, mostly re ambition
Art in mobile home represented a piece of mathematics

Binomial theorem description
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x + y)n into a sum involving terms of the form a xb yc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. For example (for n = 4),* * * * ( * x * + * y * * ) * * 4 * * * = * * x * * 4 * * * + * 4 * * x * * 3 * * * y * + * 6 * * x * * 2 * * * * y * * 2 * * * + * 4 * x * * y * * 3 * * * + * * y * * 4 * * * . * * * {\displaystyle (x+y)^{4}=x^{4}+4x^{3}y+6x^{2}y^{2}+4xy^{3}+y^{4}.} * The coefficient a in the term of a xb yc is known as the binomial coefficient * * * * * * * * ( * * * n * b * * * ) * * * * * * * {\displaystyle {\tbinom {n}{b}}} * or * * * * * * * * ( * * * n * c * * * ) * * * * * * * {\displaystyle {\tbinom {n}{c}}} * (the two have the same value). These coefficients for varying n and b can be arranged to form Pascal's triangle. These numbers also arise in combinatorics, where * * * * * * * * ( * * * n * b * * * ) * * * * * * * {\displaystyle {\tbinom {n}{b}}} * gives the number of different combinations of b elements that can be chosen from an n-element set. Therefore * * * * * * * * ( * * * n * b * * * ) * * * * * * * {\displaystyle {\tbinom {n}{b}}} * is often pronounced as "n choose b".

Binomial theorem description

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x + y)n into a sum involving terms of the form a xb yc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. For example (for n = 4),*
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