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If a\ a n d\ b are distinct integers, pr...

If `a\ a n d\ b` are distinct integers, prove that `a^n-b^n` is divisible by `(a-b)` where `n in NN`.

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Using binomial theorem, prove that 6^n-5n always leaves he remainder 1...

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  2. Which is larger (1. 01)^(100000)\ or 10,000?

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  3. If a\ a n d\ b are distinct integers, prove that a^n-b^n is divisible ...

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  4. Using binomial theorem, write down the expansion of (2x+3y)^5

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  5. Using binomial theorem, write down the expansions of the following: (1...

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  6. Using binomial theorem, write down the expansions of the following:...

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  7. Using binomial theorem, write down the expansions of the following: ...

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  8. Using binomial theorem, write down the expansions of the following: (2...

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  9. Using binomial theorem, write down the expansions of the following: \ ...

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  10. Using binomial theorem, write down the expansions of the following: \ ...

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  11. Using binomial theorem, write down the expansions of the following: \ ...

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  12. Using binomial theorem, write down the expansions of the following: \ ...

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  13. Using binomial theorem, write down the expansions of the following:\ (...

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  14. Evaluate the following: (sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^...

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  15. Evaluate the following: \ (3+sqrt(2))^5-(3-sqrt(2))^5

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  16. Evaluate the following: \ (1+2sqrt(x))^5+(1-2sqrt(x))^5

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  17. Evaluate the following: \ (sqrt(3)+1)^5-(sqrt(3)-1)^5

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  18. Evaluate the following: \ (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6

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  19. Evaluate the following: \ {a^2+sqrt(a^2-1)}^4+{a^2-sqrt(a^2-1)}^4

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  20. Evaluate the following: \ (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

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