Question
Use the binomial theorem to expand the expressions:
The correct answer is: 2m+2n)^6=64m^6+384m^5 n+960m^4 n^2+1280m^3 n^3+960m^2 n^4+384mn^5+64n^6
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 = 6,
so we would have 6+1 = 7 terms in the expansion of the expression. The values of
.
Step 2 of 2:
Substitute the values in the binomial equation to get the terms of the expansion:
Thus, the expansion of the expression 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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