Home
Class 11
MATHS
The coefficient of x^(10) in the expansi...

The coefficient of `x^(10)` in the expansion of `(1+x^(2)-x^(3))^(8)` is

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

The coefficient of x^(7) in the expansion of (1-x-x^(3)+x^(4))^(8) is equal to

Coefficient of x^n in the expansion of (1+x)^(2n) is

The coefficient of x^3 in the expansion of (1-x+x^2)^5 is

Find the coefficient of x^(-11) in the expansion of (x^(2)-(1)/(x^(3)))^(12)

The coefficient of x^(m) in the expansion of (1+x)^(m+n) is -

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

Find the coefficients of x^(-11) in the expansion of (x^(2)-(1)/(x^(3)))^(12)

Find the coefficients of x^(10) in the expansion of (1+x+x^(2))(1-x)^(8)

Coefficient of x^n in the expansion of (a+x)^(2n)

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If (1-x)^(-n)=a0+a1x+a2x^2++ar x^r+ ,t h e na0+a1+a2++ar is equal to ...

    Text Solution

    |

  2. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

    Text Solution

    |

  3. The coefficient of x^(10) in the expansion of (1+x^(2)-x^(3))^(8) is

    Text Solution

    |

  4. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

    Text Solution

    |

  5. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (a)(20 !...

    Text Solution

    |

  6. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

    Text Solution

    |

  7. The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d +b c d)^(10) is

    Text Solution

    |

  8. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

    Text Solution

    |

  9. If (1+x)^5=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5, then the value of (a0-a2+a4...

    Text Solution

    |

  10. The coefficient of x^n in the expansion of (1+x)(1-x)^n is

    Text Solution

    |

  11. The coefficient of x^(28) in the expansion of (1+x^(2)-x^(6))^(30) is

    Text Solution

    |

  12. The coefficient of x^(n) in (1+x)^(101) (1-x+x^(2))^(100) is nonzero, ...

    Text Solution

    |

  13. prove that sum(r=0)^n(-1)^r^n Cr. [1/(2^r)+(3^r)/(2^(2r))+(7^r)/(2^(...

    Text Solution

    |

  14. In the expansion of (7^(1//3)+11^(1//9))^(6561) ,

    Text Solution

    |

  15. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4+...+C(16)z^(...

    Text Solution

    |

  16. The sum of the coefficient in the expansion of (1+ax-2x^(2))^(n) is

    Text Solution

    |

  17. if the 4^(th) term in the expansion of (ax+1)^(n) is 5//2, then

    Text Solution

    |

  18. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

    Text Solution

    |

  19. If (4+sqrt(15))^n=I+f,where n is an odd natural number, I is an intege...

    Text Solution

    |

  20. In the expansion of (x+a)^n if the sum of odd terms is P and the sum o...

    Text Solution

    |