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The following formula allows one to find the powers of a binomial. It is known as the binomial theorem. Observe that:

The number of terms is n + 1.

The coefficients are combinatorial numbers corresponding to the nth row of Pascal's triangle. In the development of the binomial, the exponents of a are decreasing, one by one, from n to zero; and the exponents of b are increasing, one by one, from zero to n, therefore, the sum of the exponents of a and b in each term is equal to n.

In the case that one of the terms of the binomial is negative, alternate the positive and negative signs.

## Examples

1.   2.   3.   4.   5.    6.   ### Calculation of the Term which Occupies the Place k  ## Examples

1. Find the fifth term of the development . 2.Find the fourth term of the development is: 3.Find the eighth term of the development  4.Find the fifth term of the development . 5.Find the independent term of the development . The exponent of a with the independent term is 0, therefore, take only the literal part and equal it to a0.   Did you like the article?     (No Ratings Yet) Loading...

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