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Q: The expansion of a binomial that involves a coefficient found by combinations. The expansion will contain the same number of terms as the exponent of the original binomial. For each term the exponents?

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The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)where nCr = n!/[r!*(n-r)!]

The binomial expansion is the expanded form of the algebraic expression of the form (a + b)^n.There are slightly different versions of Pascal's triangle, but assuming the first row is "1 1", then for positive integer values of n, the expansion of (a+b)^n uses the nth row of Pascals triangle. If the terms in the nth row are p1, p2, p3, ... p(n+1) then the binomial expansion isp1*a^n + p2*a^(n-1)*b + p3*a^(n-2)*b^2 + ... + pr*a^(n+1-r)*b^(r-1) + ... + pn*a*b^(n-1) + p(n+1)*b^n

You have to multiply each term in the first binomial, by each term in the second binomial, and add the results. The final result is usually a trinomial.

binomial

Consider a binomial (a+b). The cube of the binomial is given as =(a+b)3 =a3 + 3a2b + 3ab2 + b3.

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Is the binomial expansion.

Binomial Theorum

A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.

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The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)where nCr = n!/[r!*(n-r)!]

First i will explain the binomial expansion

The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.

The binomial expansion is valid for n less than 1.

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The first two terms in a binomial expansion that aren't 0

They must be even.

Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.

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