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Find the 8th term in the expansion of ((...

Find the 8th term in the expansion of `((2x)/(3)-(3)/(5x))^(12)`

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Verified by Experts

The correct Answer is:
N/a
`T_(8)=T_(7+1)`
`=^(12)C_(7)((2x)/(3))^(12-7).((-3)/(5x))^(7)`
`=(-|ul12)/(|ul7|ul5).(2^(5).x^(5))/(3^(5)).(3^(7))/(5^(7)x^(7))`
`=-(228096)/(78125x^(2))`
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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Example
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  2. If o be the sum of odd terms and E that of even terms in the expansion...

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  3. Find the 8th term in the expansion of ((2x)/(3)-(3)/(5x))^(12)

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  4. Find the 13^(t h)term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

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  6. Find the middle term in the expansion of (3x-(1)/(2x))^(16)

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  7. Find the middle term in the expansion of (1+2x+x^(2))^(10)

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  8. Find the 4th term from the end in the expansion of (1-3x)^(10)

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  9. Show that the middle term in the expansion of (1+x)^(2n)is (1. 3. 5.d...

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  10. how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) ...

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  12. Find the coefficient of x^(6) in the expansion of (2x^(3)-(1)/(3x^(3))...

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  13. Find the coefficient of x^(7) in the expansion of (2x^(2)-(1)/(x))^(2...

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

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  15. Find the coefficient of x^6y^3in the expansion of (x+2y)^9.

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  16. Find the constant term in the expansion of (2x^(4)=(1)/(3x^(7)))^(11)

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  17. Find the constant term in the expansion of (sqrtx+1/(3x^2))^10.

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  18. Prove that there is no term involving x^6 in the expansion of (2x^2-3...

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  20. In the binomial expansion of (1+a)^(m+n) , prove that the coefficient ...

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