Home
Class 11
MATHS
Find the coefficient of x^6y^3 in the ex...

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

Text Solution

Verified by Experts

General term of expansion `(a+b)^{n}` is
`{T}_{{r}+1}={n}_{{C}_{{r}}} {a}^{{n}-{r}} {b}^{{r}}`
For `(x+2 y)^{9}`,
Putting `{n}=9, {a}={x}, {b}=2 {y}`
...
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 coefficient of x^(6)y^(3) in the expansion of (x+2y)^(9)

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

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

Find the coefficient of x^5 in the expansion of (x+3)^9

Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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

Find the coefficient of x^6y^3 in (x+y)^9

Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6

Find the coefficient of x^2 y^3 z^4 in the expansion of (ax -by +cx)^9 (b) a^2 b^3 c^4 d in the expansion of (a -b-c +d)^10

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Prove that the coefficient of the middle term in the expansion of (1+x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find the term independent of x in the expansion of: (x-1/x)^(14) .

    Text Solution

    |

  7. Find the term independent of x in the expansion of: \ (2x^2-3/x^3)^(10...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expan...

    Text Solution

    |

  12. The coefficients of three consecutive terms in the expansion of (1+x)^...

    Text Solution

    |

  13. If the coefficients of a^(r-1),\ a^r and \ a^(r+1) in the binomial exp...

    Text Solution

    |

  14. The coefficients of (r-1)^(t h),\ r t h\ a n d\ (r+1)^(t h) terms in t...

    Text Solution

    |

  15. If the fourth term in the expansion of (a x+1/x)^n \ is \ 5/2,\ then ...

    Text Solution

    |

  16. The sum of the coefficients of first three term in the expansion of (x...

    Text Solution

    |

  17. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

    Text Solution

    |

  18. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

    Text Solution

    |

  19. If in the expansion of (1-x)^(2n-1) ardenotes the coefficient of x^r t...

    Text Solution

    |

  20. If 3rd, 4th, 5th terms in the expansion of (a+x)^n be 84, 280 and 560,...

    Text Solution

    |