Home
Class 11
MATHS
Expand the following by using binomial t...

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

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

Similar Questions

Explore conceptually related problems

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

Expand the following. (3-4x^2)^5

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

Expand the following expressions (2x-3)^6

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

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

Write an antiderivative for each of the following functions using the method of inspection. i) cos 2 x ii) 3 x^2+4 x^3 iii) 1/x, x ne 0

Find p(1) and p(10) in the following polynomials. i) p(x)= 2x+5 ii) p(x)= 3x^ 2 + 6 x + 1 iii) p(x)= 4 x^ 3 + 2 x^ 2 + 3 x + 7

Find the following integrals: i) int( x^3-1)/x^2 d x ii) int(x^(2/3)+1) d x ifi) int(x^2/3+2 e^x-1/x) d x

V PUBLICATION-BINOMIAL THEORM-QUESTIONBANK
  1. Using binomial theorem prove that 2^(3n)-7n-1 is divisible by 49, wher...

    Text Solution

    |

  2. Find the 11^( th) term from the end in the expansion of (2 x-1/(x^2))...

    Text Solution

    |

  3. Find the coefficient of x^10 in the expansion of (2x^2-3/x)^11

    Text Solution

    |

  4. Consider the expansion of (3x^2-1/(2x^3))^10 Find the term independent...

    Text Solution

    |

  5. Find the middle term in the expansion of (a/x+b x)^(12).

    Text Solution

    |

  6. If the first three terms in the expansion of (1+ax)^n are 1,6x and 16x...

    Text Solution

    |

  7. In the expansion of (1+x)^(43), the coefficients of (2 r+1)^(t h) and ...

    Text Solution

    |

  8. Expand (1-x+x^2)^4

    Text Solution

    |

  9. Show that the coefficient of middle term in the expansion of (1+a)^8 i...

    Text Solution

    |

  10. i) Which is the general term in the expansion of (a+b)^n ii) Find the...

    Text Solution

    |

  11. i) Which is the (r+1)^ (th) term in the expansion of (a+b)^n ii) Whi...

    Text Solution

    |

  12. Let cr denote the binomial coefficient "^nCr Hence, show that C1/C0+2C...

    Text Solution

    |

  13. Using the expansion in simplify (a+b)^6+(a-b)^6

    Text Solution

    |

  14. Expand the following by using binomial theorem (i) (-3 x-1/(3 x))^3 ...

    Text Solution

    |

  15. Find the positive value of m for which the coefficient of x^2 in the e...

    Text Solution

    |

  16. The first three terms in the expansion of (1+a x)^n are 1,12 x,64 x^2....

    Text Solution

    |

  17. Expand (a+b)^6-(a-b)^6. Hence find the value of (sqrt2+1)^6-(sqrt2-1)^...

    Text Solution

    |

  18. Write the middle term in the expansion of the following, (x-1/(2y))^...

    Text Solution

    |

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

    Text Solution

    |

  20. Using binomial theorem, prove that 6^n-5 n always leavęs remainder 1 w...

    Text Solution

    |