Constant term

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

Guest Apr 28, 2022

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1⁺⁰ Answers

+130077

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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

CPhill Apr 28, 2022

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