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Show that (sqrt(2)+1)^6+(sqrt(2)-1)^6=1...

Show that `(sqrt(2)+1)^6+(sqrt(2)-1)^6=198`

A

184

B

192

C

198

D

202

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The correct Answer is:
C
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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8E
  1. No. of terms in the expansion of (1+3x+3x^(2)+x^(3))^(10) is:

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  2. Using (x+1)^6+(x-1)^6evaluate (sqrt(2)+1)^6+(sqrt(2)-1)^6.

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  3. 15th term in the expansion of (sqrt(2)-sqrt(y)^(17) is :

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  4. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

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  5. In the expansion of (2+a)^(50) the 17th and 18th terms are aqual . The...

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  6. Find the coefficient of x^(-25) in the expansion of ((x^(2))/(2)-(3)/(...

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  7. The remainder left out when 8^(2n)""-(62)^(2n+1) is divided by 9 is

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  8. No. of terms in the expansion of (1+2x)^(9) +(1-2x)^(9) is :

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  9. Find the middle term in the expansion of : \ (x-1/x)^(10)

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  10. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

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  11. Find the middle term in the expansion of : (1+3x+3x^2+x^3)^(2n)

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  12. Show that (sqrt(2)+1)^6+(sqrt(2)-1)^6=198

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  13. 15th term in the expansion of (sqrt(2)-sqrt(y)^(17) is :

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  14. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

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

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  16. Find the coefficient of x^(-25) in the expansion of ((x^(2))/(2)-(3)/(...

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  17. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

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  18. No. of terms in the expansion of (1+2x)^(9) +(1-2x)^(9) is :

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  19. Find the middle term in the expansion of : \ (x-1/x)^(10)

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  20. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

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