Yolanda and her 3 brothers shared a box of 156 toy dinosaurs. About how many Dino's did each child get?
2 answers:
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Answer:
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
.