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Show that the middle term in the (1+x)^2...

Show that the middle term in the `(1+x)^2n` expansion os is `(1.3.5.....(2n-1))/(n!)2^nx^n`

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MAXIMUM PUBLICATION-BINOMIAL THEOREM-EXAMPLE
  1. Find (x+y)^4-(x-y)4. Hence evaluate: (sqrt5+sqrt6)^4-(sqrt5-sqrt6)^4

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  2. How many terms are there in the expansion of (1+x)^2n (n is a positive...

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  3. Show that the middle term in the (1+x)^2n expansion os is (1.3.5.....(...

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  4. Find the general term in the expansion of (x/2-2/x)^10

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  5. Find the terms independent of x in the expansion of (x/2-2/x)^10.

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  6. Find the number of terms in the expansion of (x-1/x)^14

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  7. Find the general term in the expansion of (x-1/x)^14

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  8. Find the term independent of x in the expansion of (x-1/x)^14

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  9. Write the number of terms in the expansion of (a-b)^2n

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  10. Find the general term in the expansion of (x^2-yx)^12,x!=0

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  11. Find the coefficient of x^6y^3 in the expansion of (x+2y)^9

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  12. Write the expansion of (a+b)^n, where n is any positive integer.

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  13. Find the value of 'a' if the 17th term and 18th term in the expansion ...

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  14. The number of term in the expansion of (x-1/x)^2n is…….

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  15. Find the value of 'a' if the 17^th term and 18^th term in the expansio...

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  16. Number of terms in the expansion of (x+1/x)^20 is…..

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  17. Consider the expansion of (3x^2-1/(3x))^9 find the coefficient of x^6 ...

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  18. The 8^th term in the expression of (sqrt2+sqrt3)^7 is ……

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  19. Find the term independent of x in the expansion of (x+1/(2x))^18 , x>0

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  20. Write the expansion of (a+b)^4

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