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21-07-2019
Mathematics

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Find the coefficient to the x4 term in the expansion of (x + 4) 6.

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sqdancefan sqdancefan

22-07-2019

Answer:

240

Step-by-step explanation:

The x^k term will be ...

(6Ck)(x^k)(4^(6-k))

For k=4, this is ...

(6C4)(x^4)(4^2) = 15·16·x^4 = 240x^4

The coefficient of x^4 is 240.

_____

nCk = n!/(k!(n-k)!)

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