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Evaluate (sqrt3+sqrt2)^6-(sqrt3-sqrt2)^6...

Evaluate `(sqrt3+sqrt2)^6-(sqrt3-sqrt2)^6`

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  1. Find the coefficient of x^5 in the product (1+2x)^6(1-x)^7 using binom...

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  2. If a and b are distinct integers prove that a-b is a factor of a^n-b^n...

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  3. Evaluate (sqrt3+sqrt2)^6-(sqrt3-sqrt2)^6

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  4. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4

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  5. Find an approximation of (0.99)^5 using the first three terms of its e...

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  6. Expand using Binomial theorem (1+x/2-2/x)^4,xne0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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