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The coefficient of x^n in expansion of (...

The coefficient of `x^n` in expansion of `(1+x) (1-x)^n` is

A

`(n-1)`

B

`(-1)^(n-1)n`

C

`(-1)^(n-1)(n-1)^2`

D

`(-1)^n (1-n)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The coefficient of x^24 in the expansion of (1+x^2)^(12) (1+x^12)(1+x^...

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  2. The coefficient of x^(-n) in (1+x)^n (1+(1)/(x))^n is

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  3. The coefficient of x^n in expansion of (1+x) (1-x)^n is

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  4. The coefficient of a^(-6) b^4 in the expansion of ((1)/(a)-(2b)/(3))^1...

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  5. The coefficient of x^2 y^3 z^4 in (ax-by+cz)^9 is

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  6. In the expansion of (2x+y+3z)^10 , the coefficient of x^2 y^5 z^3 is

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  7. The coefficient of x^5 in (2-x +3x^2)^6 is

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

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

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  10. The coefficient of x^4 in the expansion of (1-x+x^2-x^3)^4. Is

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  11. The coefficient of x^53 in sum(r = 0)^(100) ""^100Cr (x - 3)^(100 - r)...

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  12. Which term of (ax+b//x)^14 is independent of x?

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  13. the term independent of x in (x+1//x)^6 is

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  14. If T(r+1) is the term of independent of x in (3x-(5)/(x^3))^8 then r=

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  15. Which term of (sqrt(x//3)+3//2x^2)^10 is independent of x?

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  16. The term independent of x in the expansion of (x^2-(1)/(x))^6 is

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  17. The term independent of x in (ax+(b)/(x))^14 is

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  18. The term of independent of x in (x^2 -(1)/(x))^9 is

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  19. The term independent of x in (2x^(1//2)-3x^(-1//3))^20

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  20. The term independent of x in ((sqrtx)/(2)-(2)/(x^2))^10 is

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