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 .

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )