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 When we expand (2x+1/2)^6 what is the coeeficent of the term x^4?

 Jun 15, 2021
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We can use the Binomial Theorem here! (although you can also use the Pascal's Triangle method, I just prefer to use this)

 

(6!/(2!6-2)!)(2x)^4(1/2)^2 = 15*16x*1/4 = 60x^4

 

So therefore our coefficient is 60!


Hope this helps!

 Jun 15, 2021

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