Maths-
General
Easy
Question
Use the binomial theorem to expand the expressions:
The correct answer is: (4g+2h)^4 = 256g^4 + 512g^3 h + 384g^2 h^2 + 128gh^3 + 16h^4
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 = 4, so we would have 4+1 = 5 terms in the expansion. The values are.
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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