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Using binomial theorem compute : (102)^6...

Using binomial theorem compute : `(102)^6`

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To compute \( 102^6 \) using the Binomial Theorem, we can express \( 102 \) as \( 100 + 2 \). We will then apply the Binomial Theorem to expand \( (100 + 2)^6 \). ### Step-by-Step Solution: 1. **Identify the Binomial Expression**: \[ 102^6 = (100 + 2)^6 \] ...
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RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find an approximation of (0. 99)^5 using the first three terms of its ...

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  2. Using binomial theorem compute : (99)^5

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  3. Using binomial theorem compute : (102)^6

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  4. Using binomial theorem compute : (10. 1)^5

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  5. Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduce th...

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  6. Using binomial theorem, prove that 6^n-5n always leaves he remainder 1...

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  7. Which is larger (1 0.1)^(100000)\ or 10,000?

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

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

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

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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: (2...

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

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

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

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

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

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

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

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