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Find the coefficient of x^5 in the expan...

Find the coefficient of `x^5` in the expansion of `(1+x^2)^5(1+x)^4.`

A

10

B

20

C

60

D

40

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
  1. The value of 4{ C1 +4. C2 +4^2 C3 + ... +4^(n-1)} is

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  2. The coefficient of the term independent of x in the exampansion of ((x...

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  3. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

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  4. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

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  5. The term independent of x in (1+x)^m (1+1/x)^n is

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  6. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

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  7. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

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  8. If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...

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  9. Find the coefficient of x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+...

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  10. If n > 1 is an integer and x!=0, then (1 +x)^n-nx-1 is divisible by

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  11. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is -83 b. -82 c...

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  12. The numberof integral termsin the expansion of ( (3)-root(8)(5))^256 i...

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

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  14. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

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  15. Find the positive integer just greater than (1+0. 0001)^(10000)dot

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  16. The term independent of a in the expansion of (1+sqrt(a)+1/(sqrt(a)-1)...

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  17. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

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  18. In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th ...

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  19. The range of values of the term independent of x in the expansion ...

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  20. Find the sum +^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9dot

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