We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
102
1
avatar

What is the constant term of the expansion of $\left(6x+\dfrac{1}{3x}\right)^6$?

 Jul 13, 2019
 #1
avatar
0

expand    (6 x + 1/(3 x))^2.............................................(1)

 

[36 x^2 + 1/(9 x^2) + 4] * (6 x + 1/(3x))..........................(2)

 

[216 x^3 + 1/(27 x^3) + 36 x + 2/x] * (6 x + 1/(3x))..............(3)

 

[1296 x^4 + 1/(81 x^4) + 288 x^2 + 8/(9 x^2) + 24] * (6 x + 1/(3 x))........(4)

 

[7776 x^5 + 1/(243 x^5) + 2160 x^3 + 10/(27 x^3) + 240 x + 40/(3 x)] * (6 x + 1/(3 x))....(5)

 

46656 x^6 + 1/(729 x^6) + 15552 x^4 + 4/(27 x^4) + 2160 x^2 + 20/(3 x^2) + 160...............(6)

 Jul 13, 2019
edited by Guest  Jul 13, 2019
edited by Guest  Jul 13, 2019

17 Online Users

avatar
avatar