Home
Class 11
MATHS
Expand using Binomial theorem (1+x/2-2/x...

Expand using Binomial theorem `(1+x/2-2/x)^4,xne0`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|160 Videos

Similar Questions

Explore conceptually related problems

Expand using binomial theorem, (x/3+1/x)^5 .

Expand the following by using binomial theorem (i) (-3 x-1/(3 x))^3 (ii) (x^2+2/x)^4, x ne 0 .

Using binomial theorem evaluate (98) ^5 .

Using binomial theorem expand (sqrt(x/a)-sqrt(a/x))^6 .

Using binomial theorem evaluate (0.99)^5+(1.01)^5

i) Using Binomial theorem find an expansion of (1+x)^n ii) Obtain the expansion for (x^2+2/x)^4 where x ne 0

Find the expansion of (3x^2-2ax+3a^2)^3 using Binomial theorem

Using Binomial theorem evaluate the following (101)^4

Using Binomial theorem evaluate the following (102)^5

Using binomial theorem prove that 2^(3n)-7n-1 is divisible by 49, where ninN

A N EXCEL PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Given that C0+C1x+C2x^2+..+Cnx^n=(1+x)^n Prove that C(1).2+C(2).2^2+....

    Text Solution

    |

  2. Find the coefficient of x^4 in the expansion of (1+x)^n(1-x)^n

    Text Solution

    |

  3. Find the coefficient of x^4 in the expansion of (1-x^2)^n

    Text Solution

    |

  4. What is the value of C0+C1+C2+..+Cn?

    Text Solution

    |

  5. What is the value of C0+C2+C4+....?

    Text Solution

    |

  6. What is the value of C1+C3+C5+...?

    Text Solution

    |

  7. Prove that 2C0+C1+2C2+C3+2C4+...=3.2^(n-1)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Prove that C0C2+C1C3+…+C(n-2)Cn=^(2n)C(n-2)

    Text Solution

    |

  11. Given that 1/(r+1)""^nCr=1/(n+1)"'^(n+1)C(r+1) Prove that 2""^10C0+2^...

    Text Solution

    |

  12. Find a, b and n in the expansion of (a+b)^n if the first three terms o...

    Text Solution

    |

  13. Find a if the coefficients of x^2 and x^3 in the expansion of (3+ax)^9...

    Text Solution

    |

  14. Find the coefficient of x^5 in the product (1+2x)^6(1-x)^7 using binom...

    Text Solution

    |

  15. If a and b are distinct integers prove that a-b is a factor of a^n-b^n...

    Text Solution

    |

  16. Evaluate (sqrt3+sqrt2)^6-(sqrt3-sqrt2)^6

    Text Solution

    |

  17. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4

    Text Solution

    |

  18. Find an approximation of (0.99)^5 using the first three terms of its e...

    Text Solution

    |

  19. Expand using Binomial theorem (1+x/2-2/x)^4,xne0

    Text Solution

    |

  20. Find the expansion of (3x^2-2ax+3a^2)^3 using Binomial theorem

    Text Solution

    |