Maths-
General
Easy
Question
Use the binomial theorem to expand the expressions:

The correct answer is: (m^2+n/2 )^3 = m^6 + (3m^4 n)/2 + (3m^2 n^2)/4 + n^3/8
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 = 3 so there are 3+1 = 4 terms in the expansion of the expression. The values of
.
Step 2 of 2:
Substitute the values in the binomial equation to get the expansion;

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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