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i) Using Binomial theorem find an expans...

i) Using Binomial theorem find an expansion of `(1+x)^n`
ii) Obtain the expansion for `(x^2+2/x)^4` where `x ne 0`

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V PUBLICATION-BINOMIAL THEORM-QUESTIONBANK
  1. Expand using Binomial theorem (1+x/2-2/x)^4,xne0

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  2. Find the expansion of (3x^2-2ax+3a^2)^3 using Binomial theorem

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  3. i) Using Binomial theorem find an expansion of (1+x)^n ii) Obtain the...

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  4. Using binomial theorem expand (sqrt(x/a)-sqrt(a/x))^6.

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  5. Using binomial thẹorem, prove that 3^(3 n)-26 n-1 is divisible by 676 ...

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  6. Using binomial theorem prove that 2^(3n)-7n-1 is divisible by 49, wher...

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  7. Find the 11^( th) term from the end in the expansion of (2 x-1/(x^2))...

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  8. Find the coefficient of x^10 in the expansion of (2x^2-3/x)^11

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  9. Consider the expansion of (3x^2-1/(2x^3))^10 Find the term independent...

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  10. Find the middle term in the expansion of (a/x+b x)^(12).

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  11. If the first three terms in the expansion of (1+ax)^n are 1,6x and 16x...

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  12. In the expansion of (1+x)^(43), the coefficients of (2 r+1)^(t h) and ...

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  13. Expand (1-x+x^2)^4

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  14. Show that the coefficient of middle term in the expansion of (1+a)^8 i...

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  15. i) Which is the general term in the expansion of (a+b)^n ii) Find the...

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  16. i) Which is the (r+1)^ (th) term in the expansion of (a+b)^n ii) Whi...

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  17. Let cr denote the binomial coefficient "^nCr Hence, show that C1/C0+2C...

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  18. Using the expansion in simplify (a+b)^6+(a-b)^6

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  19. Expand the following by using binomial theorem (i) (-3 x-1/(3 x))^3 ...

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  20. Find the positive value of m for which the coefficient of x^2 in the e...

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