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Binomial Theorem - Problem 8 351 views

When you want to use a row from Pascal's Triangle or a series of nCr values as coefficients of a polynomial, first set up the string of coefficients followed by space to fill in your terms. The first term starts raised to the highest exponent, and then the exponent decreases by one each time with zero as the last term. The second term, here negative because we started with a binomial difference, starts with exponent zero and then the exponent increases by one each time. Simplify the products in each term to get your expanded polynomial.

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