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Find the 4^(t h)term in the expansion o...

Find the `4^(t h)`term in the expansion of `(x-2y)^(12)`.

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The correct Answer is:
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In the expansion of `(x-2y)^(12)`
Fourth term `T_(3+1) =^(12)C_(3)(x^(12-3)).(-2y)^(3)`
`=(12xx11xx10)/(3xx2xx1)xx(-8x^(9)y^(3))`
`=221xx -8x^(9)y^(3)`
`=-1760x^(9)y^(3)`
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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exericse 8.2
  1. Find the 4^(t h)term in the expansion of (x-2y)^(12).

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

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  3. Find the middle term in the expansion of (3-(x^(3))/(6))^(7)

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  4. Find the middle term in the expansion of :\ (x/3+9y)^(10)

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

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  6. The coefficient of the (r-1)th, rth and (r+1)th terms in the expansio...

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  7. prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

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  8. Find a positive value of m for which the coefficient of x^2 in the ex...

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  9. Find the coefficient of x^5""in(x+3)^8

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  10. Find the coefficient of a^5b^7in(a-2b)^(12)

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  11. Write the general term in the expansion of (x^2-y)^6dot

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  12. Write the general term in the expansion of (x^2-y x)^(12),x!=0

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  13. Find the 4^(t h)term in the expansion of (x-2y)^(12).

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

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  15. Find the middle term in the expansion of (3-(x^(3))/(6))^(7)

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  16. Find the middle term in the expansion of :\ (x/3+9y)^(10)

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

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  18. The coefficient of the (r-1)th, rth and (r+1)th terms in the expansio...

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  19. prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

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  20. Find a positive value of m for which the coefficient of x^2 in the ex...

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