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Using binomial theorem, expand {(x+y)^5+...

Using binomial theorem, expand `{(x+y)^5+(x-y)^5}dot` and hence find the value of `{(sqrt(2)+1)^5+(sqrt(2)-1)^5}dot`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the greatest value of the term independent of x in the expansion ...

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  2. If o be the sum of odd terms and E that of even terms in the expansion...

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  3. Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the...

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  4. Using binomial theorem, prove that 2^(3n)-7n-1 is divisible by 49 , wh...

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  5. Using binomial theorem, prove that (101)^(50)> 100^(50)+99^(50)dot

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  6. Expand (x^2+2a)^5 by binomial theorem.

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  7. Prove that sum(r=0)^n^n Cr3^r=4^n

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  8. By using binomial theorem, expand: (1+x+x^2)^3

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  9. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

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  10. In the binomial expansion of (1+x)^n , coefficients of the fifth, sixt...

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  11. In the binomial expansion of (a+b)^n , coefficients of the fourth and ...

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  12. The value of term independent of x in (sqrt(x)+a/(x^2))^(10) is .

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  13. If n is a positive integer, prove that 3^(3n)-26n-1 is divisible by 67...

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  14. Using binomial theorem, prove that 3^(2n+2)-8^n-9 is divisible by 64 ...

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  15. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

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  16. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

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  17. If the coefficient of 2nd, 3rd and 4th terms in the expansion of (1...

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  18. If the coefficient of (2r+4)th and (r-2)th terms in the expansion of ...

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  19. Find the value of alpha for hich the coefficients of the middle terms ...

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  20. If the term free form x in the expansion of (sqrt(x)-m/(x^(2)))^(10) i...

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