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Write the general term in the expansion ...

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

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To find the general term in the expansion of \((x^2 - y)^6\), we can use the Binomial Theorem. The Binomial Theorem states that: \[ (a + b)^n = \sum_{r=0}^{n} \binom{n}{r} a^{n-r} b^r \] ### Step-by-Step Solution: ...
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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Using binomial theorem evaluate each of the following: (98)^5

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  2. Using binomial theorem indicate which is larger (1. 1)^(10000)or\ 1000...

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

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  4. Find the 10th term in the binomial expansion of (2x^2+1/x)^(12)dot

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  5. Find the 6th term in the expansion of ((4x)/5-5/(2x))^9.

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

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  7. Find the 11th term from the end in the expansion of (2x-1/(x^2))^(25)d...

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  8. Find n, if the ratio of the fifth term from the beginning to the fi...

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  9. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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  10. Show that the middle term in the expansion of (1+ x)^(2n) is (1.3.5…(...

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  11. Prove that the coefficient of the middle term in the expansion of (1+x...

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  12. Find the coefficient of x^(10) in the binomial expansion of (2x^2-3/x)...

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

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  14. Find the coefficient of x^(40) in the expansion of (1+2x+x^2)^(27)dot

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  15. Find the coefficient of x^5 in the expansioin of the product (1+2x)^6(...

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  16. Find the term independent of x in the expansion of: (x-1/x)^(12) .

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  17. Find the term independent of x in the expansion of: \ (2x-1/x)^(10)dot

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

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  19. Prove that the coefficients of x^n in (1+x)^(2n) is twice the coeffici...

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

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