Write the fifteenth term of the binomial expansion of (a^2+b)^20

The fifteenth term of the binomial expansion of is .

Step-by-step explanation:

Let be a binomial of the form , where and . The expansion of this polynomial is defined below:

(1)

Where:

- Number of terms of the expanded polynomial.

- Index associated to -th term of the expanded polynomial.

For all -th binomial, we a sum of terms. If the given binomial has a term of , then we have 21 terms and the fifteenth term of the polynomial corresponds to the -th term. Then, the fifteenth term of the binomial is:

The fifteenth term of the binomial expansion of is .

step-by-step explanation:

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