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Find the 4th term from the end in the e...

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

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4th term from the end in the expansion of `(1-3x)^(10)`
=4th term from the beginning in the expansion of `(-3x+1)^(10)`
`T_(3+1)=^(10)C_(3)(-3x)^(10-3).(1)^(3)`
`(|ul10)/(|ul3|ul7).(-2187)x^(7)=-262440x^(7).`
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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Example
  1. Find the middle term in the expansion of (3x-(1)/(2x))^(16)

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

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

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

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

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  6. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

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

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

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

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

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

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

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

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  14. If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are ...

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

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  16. Find the coefficient of x^5in the product (1+2x)^6(1-x)^7using binomi...

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  17. If the coefficients of a^(r-1),\ a^r a n d\ a^(r+1) in the binomial ex...

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  18. Evaluate : 1+^(15)C(1)+^(15)C(2)+^(15)C(3)+......+^(15)C(15)

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  19. "if "(1+x)^(n)=C(0)+C(1).x+C(2).x^(2)+C(3).x^(3)+......+C(n).x^(n), th...

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  20. If C(0),C(1),C(2),...C(n) are the binomial coefficients in the expansi...

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