binomial expansion

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ChristineShane

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Sep 9, 2021
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Hi, good day. I have this math problem and I really find it difficult to answer. I would really appreciate it if you could help me. This is the problem below:​

"The final coefficient of the 5th term is xy^4. the numerical coefficient of the 6th term in the expansion is 243. the numerical coefficient of the 2nd term in the expansion is 3840. Explain how can you get the answer."​

 

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Please provide some information about what you've already learned from working with binomials expansions. Or show your efforts on this exercise so far. Or ask specific questions about the parts you find confusing. Thank you.
 
I shall give a hint

[math]243 = 3 * 81 = 3*9^2 = 3 * (3^2)^2 = 3 * 3^4 = 3^5\\ 3840 = 3 * 1280 = 3 * 5 * 256 = 3 * 5 * 2^8.[/math]
 
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