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Find (a+b)^4-(a-b)^4.Hence evaluate (sqr...

Find `(a+b)^4-(a-b)^4`.Hence evaluate `(sqrt3+sqrt2)^4-(sqrt3-sqrt2)^4`

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V PUBLICATION-BINOMIAL THEORM-QUESTIONBANK
  1. Using Binomial theorem evaluate the following (99)^5

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  2. Using Binomial theorem ,indicate which number is larger (1.1)^10000 or...

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  3. Find (a+b)^4-(a-b)^4.Hence evaluate (sqrt3+sqrt2)^4-(sqrt3-sqrt2)^4

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  4. Find(x+1)^6+(x-1)^6. Hence, or otherwise evaluate (sqrt2+1)^6+(sqrt2-1...

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  5. Show that 9^(n+1)-8n-9 is divisible by 64.

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  6. Prove that underset(r=0)oversetnsum3^r^nCr=4^n

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

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

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

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  10. The second, 'third and fourth terms in the binomial expansion (x+a)^n ...

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  11. The coefficients of three consecutive terms in the expansion of. (1+a)...

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  12. Find the coefficient of x^5 in (x+3)^8.

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  13. Find the coefficient of a^5b^7 in the expansion of (a-2b)^12

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  14. Find the general term in the expansion of (x^2-y)^6.

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

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  16. Find the 4th term in the expansion of (x-2y)^12

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  17. Find the 13^th term in the expansion of (9x-1/(3sqrtx))^18

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  18. Find the middle term in the expansion of (3-(x^3)/6)^7.

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  19. Find the middle term in the expansion of (x/3+9y)^10

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  20. In the expansion of (1+a)^(m+n), prove that the coefficient of a^m and...

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