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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

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The correct Answer is:
B
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. If the coefficients of r^(th) , (r + 1)^(th) and (r + 2)^(th) terms i...

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  2. If the coefficients of three consecutive terms in the expansion of (1+...

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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 x^11 in the expansion of (1- 2x + 3x^2) (1 + x)^11 ...

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  5. The coefficient of x^5 in the expansion of (x^2 - x - 2)^5 is

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

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  7. Coefficient of x^5 in ( 1+ x)^21 + (1 + x)^22 + …….+ (1 + x)^30 is

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  8. Coefficient of a^8b^6c^4 in (a+b+c)^18 is

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  9. The coefficient of x^9 in (x - 1)(x - 4) ( x- 9) ……. ( x -100) is

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  10. The term in (x + y)^50 which is greatest in absolute value if |x| = sq...

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  11. The greatest integer which divides the number 101^100 - 1 is

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  12. 9^7 + 7^9 is divisible by

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  13. Larger of 99^50+100^50 and 101^50

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  14. The remainder left out when 8^(2n) - 6(2)^( 2n+1) is divided by 9 is

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  15. Integral part of 7 + 4sqrt3)^n is (n in N)

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  16. Integral part of (7 + 5sqrt2)^(2n+1) is (n in N)

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  17. If (6 sqrt6+14)^(2n+1)=R and F=[R], where [R] denotes the greatest int...

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  18. The integral part of (sqrt2+1)^6 is

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  19. ""^(n) C(r+1)+2""^(n)C(r) +""^(n)C(r-1)=

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  20. If Ck is the coefficient of x^k in the expansion of (1 + x)^2005 and i...

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