Question
Dakota said the third term of the expansions of 
is .Explain Dakota’s error and then correct the answer.
The correct answer is: You can use Both the Pascal’s triangle and binomial expansion to find the value of .
ANSWER:
Hint:
The binomial expansion is 
, here 
.
We are asked to describe and correct the mistake Dakota made in the expansion of the expression .
Step 1 of 2:
The given expression is 
,.
Thus, the expansion would be:
Step 2 of 2:
Analyzing the expansion, find the coefficient of 
. The value is: 216
Dakota got the wrong answer because she did not count the value 
.
Note:
You can use Both the Pascal’s triangle and binomial expansion to find the value of 
.
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is 10x.
