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What is the constant term of the expansion of (6x + 1/(2x))^8?

 Apr 28, 2022
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( 6x   +  1 / (2x) )^8

 

The constant term is

 

C (8,4)   (6x)^4 * (1/ (2x) )^4   = 

 

70  (6x)^4  (1/ (2x) )^4   =

 

70 * 1296x^4 * 1/ (16 x^4)   =

 

70  *  81   = 

 

5670

 

 

cool cool cool

 Apr 28, 2022

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