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

Evaluate the following: `\ (sqrt(2)+1)^6+(sqrt(2)-1)^6`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Evaluate the following: \ {a^2+sqrt(a^2-1)}^4+{a^2-sqrt(a^2-1)}^4

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

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

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  4. Evaluate the following: (2+sqrt(3))^7+(2-sqrt(3))^7

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  5. Evaluate the following: \ (0. 99)^5+(1. 01)^5

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  6. Find (a+b)^4-(a-b)^4dot Hence evaluate (sqrt(3)+sqrt(2))^4-(sqrt(3)-sq...

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  7. Find (x+1)^6+(x-1)^6. Hence evaluate (sqrt(2)+1)^6+(sqrt(2)-1)^6.

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  8. Using binomial theorem evaluate each of the following: (96)^3

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  9. Using binomial theorem evaluate each of the following: (102)^5

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  10. Using binomial theorem evaluate each of the following: (101)^4

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  11. Using binomial theorem evaluate each of the following: (98)^5

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  12. Using binomial theorem indicate which is larger (1. 1)^(10000)or\ 1000...

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  13. Write the general term in the expansion of (x^2-y)^6dot

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  14. Find the 10th term in the binomial expansion of (2x^2+1/x)^(12)dot

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  15. Find the 6th term in the expansion of ((4x)/5-5/(2x))^9.

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  16. Find 13th term in the expansion of (9x-1/(3sqrtx))^(18),\ x!=0.

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  17. Find the 11th term from the end in the expansion of (2x-1/(x^2))^(25)d...

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  18. Find n, if the ratio of the fifth term from the beginning to the fi...

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  19. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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  20. Show that the middle term in the expansion of (1+ x)^(2n) is (1.3.5…(...

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