Home
Class 11
MATHS
Find the term independent of x in the ex...

Find the term independent of `x` in the expansion off the following expression: `(3x-2/(x^2))^(15)`

Text Solution

Verified by Experts

Given
`(3 x-frac{2}{x^{2}})^{15} `
`T_{r+1}=\ ^{15} C_{r}(3 x)^{15-r}(frac{-2}{x^{2}})^{r} `
`=(-1)^{r}\ ^{15} C_{r} times 3^{15-r} times 2^{r} x^{15-r-2 r}`
...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

Find the term independent of x in the expansion off the following expression: (x-(1)/(x^(2)))^(3n)

Find the term independent of x in the expansion off the following expression: (2x+(1)/(3x^(2)))^(9)

Find the term independent of x in the expansion off the following expression: ((3)/(2)x^(2)-(1)/(3x))^(6)

Find the term independent of x in the expansion off the following expression: (x3+(1)/(2x3))^(18),x>2

Find the term independent of x in the expansion of the following expressions: ((1)/(2)x^((1)/(3))+x^(-(1)/(5)))^(8) and (1+x+2x^(3))((3)/(2)x^(2)-(1)/(3x))^(9)

Find the term independent of x in the expansion of (2x^2-3/x^3)^(25)

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

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

The term independent of x in the expansion of (2x+1/(3x))^(6) is

Find the term, which is independent of x in the expansion of (x^2 + 1/x)^9

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the term independent of x in the expansion off the following expr...

    Text Solution

    |

  2. Find the term independent of x in the expansion off the following expr...

    Text Solution

    |

  3. Find the term independent of x in the expansion off the following expr...

    Text Solution

    |

  4. Find the term independent of x in the expansion off the following expr...

    Text Solution

    |

  5. Find the term independent of x in the expansion of [(3x^2/2)-(1/3x)]^9

    Text Solution

    |

  6. Find the term independent of x in the expansion off the following expr...

    Text Solution

    |

  7. If the coefficients of (2r + 4)th term and (r - 2)th term in the expa...

    Text Solution

    |

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

    Text Solution

    |

  9. Prove that the term independent of x in the expansion of (x+1/x)^(2n) ...

    Text Solution

    |

  10. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

    Text Solution

    |

  11. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

    Text Solution

    |

  12. If in the expansion of (1 + x)^n, the coefficients of pth and qth term...

    Text Solution

    |

  13. Find a if the coefficients of x^2 and x^3 in the expansion of (3+a ...

    Text Solution

    |

  14. Find the coefficient of a^4 in the product (1+2a)^4(2-a)^5 using binom...

    Text Solution

    |

  15. In the expansion of (1+x)^n the binomial coefficients of three consecu...

    Text Solution

    |

  16. If in the expansion of (1+x)^n the coefficient of three consecutive te...

    Text Solution

    |

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

    Text Solution

    |

  18. If the coefficients of three consecutive terms in the expansion of (1+...

    Text Solution

    |

  19. If the 6th, 7th, 8th terms in the expansion of (x+ a)^n be 112, 7 and ...

    Text Solution

    |

  20. If the 2nd, 3rd and 4th terms in the expansion of (x+a)^n are 240, ...

    Text Solution

    |