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Using binomial theorem, expand {(x+y)^5+...

Using binomial theorem, expand `{(x+y)^5+(x-y)^5}dot` and hence find the value of `{(sqrt(2)+1)^5+(sqrt(2)-1)^5}dot`

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The correct Answer is:
`(i) 2(a^(5)+10a^(3)b^(2)+5ab^(4)),58sqrt(2)" "(ii) 2(32x^(6)-48x^(4)+18x^(2)-1)`
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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8A
  1. Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot

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  2. If x= sqrt5+sqrt3 and y = sqrt5-sqrt3, then x^4 -y^4

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  3. Find the values of the following using binomial theorem: (i) 49^(4)...

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  4. By using binomial theorem find which number is greater (1.2)^(3000) " ...

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  5. Prove that Sigma(r=0)^(n) ""^(n)C(r).3^(r)=4^(n)

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  6. If n is a positive integer then find the number of terms in the expans...

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  7. Find the number of terms in the expansion of (1+3x+3x^(2)+x^(3))^(15)

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  8. If (1+x+x^(2))^(n)=1 +a(1)x+a(2)x^(2)+a(3)x^(3) +……..+a(2n).x^(2...

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

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  10. Expand using binomial theorem: (i) (1-2x)^(4)

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  11. Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6...

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  12. Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the...

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  13. Expand (x+y)^(4)-(x-y)^(4). Hence find the value of (3+sqrt(5))^(4) -(...

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  14. Find the values of the following using binomial theorem: (i) 49^(4)...

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  15. By using binomial theorem find which number is greater (1.2)^(3000) " ...

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  16. Prove that Sigma(r=1) ""^(n)C(r).3^(r)=4^(n)

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  17. If n is a positive integer then find the number of terms in the expans...

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  18. Find the number of terms in the expansion of (1+3x+3x^(2)+x^(3))^(15)

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  19. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

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  20. By using binomial theorem prove that (2^(3n)-7n-1) is divisible by ...

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