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Find the number of irrational terms in t...

Find the number of irrational terms in the expansion of `(5^(1//6)+2^(1//8))^(100)dot`

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If the coefficient of 4th term in the expansion of (a+b)^n is 56, then...

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  2. If p and q are positive, then prove that the coefficients of x^p and x...

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  3. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

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  4. If x^p occurs in the expansion of (x^2+1/x)^(2n) , prove that its coef...

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  5. The co-efficient of a^(3)b^(4)c^(5) in the expansion of (bc+ca+ab)^(6)...

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  6. The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

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  7. If the number of terms in the expansion of (x+y+z)^n are 36, then find...

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  8. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

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  9. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is

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  10. Find the number of terms which are free from radical signs in the e...

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  11. Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.

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  12. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

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  13. Find the sum .^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9

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  14. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

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  15. If n is an even positive integer, then find the value of x if the gr...

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  16. If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3...

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  17. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

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  18. If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...

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  19. If |x|>1, then expand (1+x)^(-2)dot

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  20. Find the cube root of 27

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