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Write down the binomial expansion of `(1+x)^(n+1)` , when x=8. Deduce that `9^(n+1)-8n-9` is divisible by 64 where, `n` is a positive integer.

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
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  16. Using binomial theorem, write down the expansions of the following:\ (...

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  17. Evaluate the following: (sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^...

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  18. Evaluate the following: \ (3+sqrt(2))^5-(3-sqrt(2))^5

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  19. Evaluate the following: \ (1+2sqrt(x))^5+(1-2sqrt(x))^5

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  20. Evaluate the following: \ (sqrt(3)+1)^5-(sqrt(3)-1)^5

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