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Find the Fourth term of (6x+5)5

 

Thank you for your help :Dlaugh

 May 6, 2016
edited by BlueFire28  May 6, 2016
 #1
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Find the Fourth term of (6x+5)^5

 

I always am confused with these because I never know which end I am supposed to start from.  

I guess there is some convention that I can never remember.

 

The coefficients for a power of 5 are     5C0, 5C1, 5C3, 5C4, 5C5 and these are    1,5, 10,   5,1

 

So, depending on which end you start from, the forth one is either

 

\(5*(6x)^4*5^1 = 5*6^4x^4*5=25*1296*x^4=32400x^4\\ or\\ 5*5^4*(6x)^1=5^5*6x=18750x\)

 May 7, 2016

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