Question
Use the binomial theorem to expand the expressions:
The correct answer is: (n+5)^5 = n^5 + 25n^4 + 250n^3 + 1250n^2 + 3125n + 3125
ANSWER:
Hint:
The binomial expansion is 
,
We are asked to find the expansion of using Binomial theorem.
Step 1 of 2:
The given expression is . Here, the value of n = 5, thus we would 5+1 = 6 terms. The values of 
Step 2 of 2:
Substitute the values in the binomial equation;
Thus, the expansion is;
Note:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x+y)n, we would consider the (n+1)th row in the triangle.
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