Home
Class 11
MATHS
The coefficient of x^(28) in the expansi...

The coefficient of `x^(28)` in the expansion of `(1+x^(2)-x^(6))^(30)` 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^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. ^30 C_6 d. ^30 C_3

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

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

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

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

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

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

Find the coefficients of x^(-2) in the expansion of (2x^(3)-(1)/(x^(2)))^(6)

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

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If (1+x)^5=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5, then the value of (a0-a2+a4...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If the coefficients of the rth, (r+1)t h ,(r-2)t h terms is the expans...

    Text Solution

    |

  14. The value/value of x in the expression (x+x^(log(10)x))^(5)if the thir...

    Text Solution

    |

  15. Let R=(5 sqrt 5+11)^(2n+1) and f=R-[R] where [] is the greatest intege...

    Text Solution

    |

  16. If |x| lt 1, then the coefficient of x^(n) in expansion of (1+x+x^(2)+...

    Text Solution

    |

  17. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1)

    Text Solution

    |

  18. If x is so small that x^3 and higher powers of x may be neglected, the...

    Text Solution

    |

  19. If x is positive, the first negative term in the expansion of (1+x)^(2...

    Text Solution

    |

  20. Value of sum(k=1)^oosum(r=0)^k1/(3^k)(k Cr) is 2/3 b. 4/3 c. 2 d. 1

    Text Solution

    |