The Binomial Theorem

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binomial theorem used to find individual terms of an expression

(x+y)^n=nsigmar=0n!/(r!(n-r)!)x^(n-r)y^r when finding a specific term subtract it by 1 and replace the r with that number

binomial theorem

(x+y)^n=x^n+nx^(n-1)y+(n(n-1))/2x^(n-2)y^2+(n(n-1)(n-2))/6x^(n-3)y^3+...+y^n

If two consecutive numbers in any row are added, the sum is a number what?

in the following row

In binomial expansion if the coefficient of a term is multiplied by the exponent of x and the product is divided by n, the result is what?

the coefficient of the following term

If what numbers in any row are added, the sum is a number in the following row?

two consecutive

In binomial expansion if the coefficient of a term is multiplied by the exponent of what and the product is divided by what, the result is the coefficient of the following term?

x


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