Home
Class 11
MATHS
Find the sum of all the coefficients in ...

Find the sum of all the coefficients in the binomial expansion of `(x^2+x-3)^(319)dot`

Text Solution

Verified by Experts

=>`(x^2+x-3)^319=a_1+a_2x+a_3x^2.....a_639x^638`
=>let x=1,=>`-1=a_1+a_2+a_3.....a_639`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE|Exercise Solved Examples And Exercises|406 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6) is equal to

Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^(10)dot

Find the coefficient of x^3 in the expansion of (2-3x)^7 ?

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

Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

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

Find the coefficient of x^5 in the expansion of (1+x^2)^5 (1+x)^4

Find the coefficient of x^(6) in the expansion of (3+2x)^(10) .

CENGAGE-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the sum of the series ^15 C0+^(15)C1+^(15)C2++^(15)C7dot

    Text Solution

    |

  2. Find the sum sum(k=0)^(10)^(20)Ckdot

    Text Solution

    |

  3. Find the sum of all the coefficients in the binomial expansion of (x^2...

    Text Solution

    |

  4. If the sum of coefficient of first half terms in the expansion of (x+y...

    Text Solution

    |

  5. Find the value of sum(p=1)^n(sum(m=p)^n^n Cm ^m Cp)dot And hence, fin...

    Text Solution

    |

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

    Text Solution

    |

  7. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then f...

    Text Solution

    |

  8. The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6xa n ...

    Text Solution

    |

  9. If x^4 occurs in the rth term in the expansion of (x^4+1/(x^3))^(15), ...

    Text Solution

    |

  10. Find the constant term in the expansion of (x-1//x)^6dot

    Text Solution

    |

  11. If the coefficients of (r-5)^th and (2r - 1)^th terms in the expansion...

    Text Solution

    |

  12. In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginnin...

    Text Solution

    |

  13. If the coefficient of 4th term in the expansion of (a+b)^n is 56, then...

    Text Solution

    |

  14. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the coefficient of a^3b^4c^5 in the expansion of (b c+c a+a b)^6d...

    Text Solution

    |

  17. Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^(10)dot

    Text Solution

    |

  18. If the number of terms in the expansion of (x+y+z)^n are 36, then find...

    Text Solution

    |

  19. Find the coefficient of a^3b^4c in the expansion of (1+a-b+c)^9dot

    Text Solution

    |

  20. The coefficient of x^(4) in the expansion of (1 + x + x^(2) + x^3)^(11...

    Text Solution

    |