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Find the 7th term in the expansion of `(3x^2-1/(x^3))^(10)dot`

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To find the 7th term in the expansion of \((3x^2 - \frac{1}{x^3})^{10}\), we will use the Binomial Theorem. ### Step-by-Step Solution: 1. **Identify the General Term**: The general term \(T_{r+1}\) in the expansion of \((a + b)^n\) is given by: \[ T_{r+1} = \binom{n}{r} a^{n-r} b^r ...
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RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the number of terms which are free from radical signs in the e...

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  2. Find the 11th term form the beginning and the 11th term form the en...

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  3. Find the 7th term in the expansion of (3x^2-1/(x^3))^(10)dot

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  4. Find the 5th term from the end in the expansion of (3x-1/(x^2))^(10)do...

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  5. Find the 7th term in the expansion of ((4x)/5+5/(2x))^8dot

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  6. Find the 4th term from the beginning and 4^(th) term from the end in ...

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  7. Find the 4th term from the end in the expansion of ((4x)/5-5/(2x))^8do...

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  8. Find the 7th term from the end in the expansion of (2x^2-3/(2x))^8dot

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  9. Find the coefficient of x^(10) in the expansion of (2x^2-1/x)^(20).

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  10. Find the coefficient of x^7 in the expansion of (x-1/(x^2))^(40).

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  11. Find the coefficient of : x^(-15) in the expansion of (3x^2-a/(3x^3))^...

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  12. Find the coefficient of x^9 in the expansion of (x^2-1/(3x))^9.

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  13. Find the coefficient of \ x^m in the expansion of (x+1/x)^ndot

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  14. The co-efficient of x in the expansion of (1-2x^3+3x^5)(1+1/x)^8 is:

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

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  16. Find the coefficient of x in the expansion of (1-3x+7x^2)(1-x)^(16).

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  17. Does the expansion of (2x^2-1/x)^(20) contain any term involving x^9?

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  18. Show that the expansion of (x^2+1/x)^12 does not contain any term invo...

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  19. Find the middle term in the expansion of ((2x)/3-3/(2x))^(20)

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  20. Find the middle term in the expansion of : (x^2-2/x)^(10)

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