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Find the general term in the expansion o...

Find the general term in the expansion of
`(y^(2)+6y+9)^(20)`

Text Solution

Verified by Experts

The correct Answer is:
` .^(40)C_(r )y^(40-r)3^(r )`
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KUMAR PRAKASHAN-BINOMIAL THEOREM -PRACTICE WORK
  1. Find the general term in the expansion of (z^(2)-3/(z^(2)))^(35)

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  2. Find the general term in the expansion of (x+3y)^(10)

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  3. Find the general term in the expansion of (y^(2)+6y+9)^(20)

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  4. Find the general term in the expansion of (3y+6z)^(9)

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  5. Find the 6^(th) term in expansion of ((x^(3))/2-2/(x^(2)))^(9)

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  6. Find the 7^(th) term in the expansion of (x+3y)^(8)

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  7. Find the 7^(th) term in the expansion of (3x - (2y)/3)^(10)

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  8. Find the 6^(th) term in expansion of (z^(2)+(2z)/3+1/9)^(5)

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  9. Find the middle term in expansion of : (2x+3y)^(9)

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  10. Find the middle term in expansion of : (a/x+bx)^(12)

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  11. Find the middle term in expansion of : (x^(2)+a^(2))^(5)

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

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  13. Find the middle term in expansion of : (2ax -b/(x^(2)))^(12)

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  14. If the coefficients of 4^(th) and 13^(th) terms in the expansion of (a...

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  15. If 4^(th) term of (ax+1/x)^(n) is 5/2 then find a and n .

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  16. Prove that there is no term involving x^(6) in the expansion of (2x^(...

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  17. Find the constant term of (3x^(2)-1/(2x^(3)))^(10)

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  18. The coefficients of three consecutive terms in the expansion of (1 + ...

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

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  20. The sum of the coefficients of the first three terms in the expansion ...

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