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What is the Coefficient of x4 in expansion of (2+x)5

What is the Coefficient of x4 in expansion of (2+x)5-example-1
User Sepang
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1 Answer

4 votes

Answer:

10

Explanation:

rewrite as (x+2)⁵

use the binomial formula:

(a+b)⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

a = x, b = 2

The problem is only asking for the coefficient of the x⁴ expression, so the answer is:

5a⁴b = 5(x)⁴(2) = 10x⁴

User Otto G
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