Home
Class 12
MATHS
Find (1+x)^(4) + (1-x)^(4). Hence evalua...

Find `(1+x)^(4) + (1-x)^(4)`. Hence evaluate `(sqrt2+1)^(4) + (sqrt2-1)^(4)`

Text Solution

Verified by Experts

The correct Answer is:
`2[.^(4)C_(0)+.^(4)C_(2)x^(2)+.^(4)C_(4)x^(4)];34`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-A)|50 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-B)|34 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Illustration|1 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

Find (a+b)^4-(a-b)^4 . Hence, evaluate (sqrt3+sqrt2)^4-(sqrt3-sqrt2)^4 .

Evaluate int(2^(x))/(sqrt(1-4^(x)))dx

Evaluate: int(1)/((x^(2)-4)sqrt(x+1))dx

Evaluate: int(2x)/sqrt (1-x^4)dx

Evaluate int_1^sqrt2 dx/(x^2sqrt(4-x^2))

Evaluate int x/sqrt(1-2x^4)dx

Evaluate: int(sqrt(1+x^(2)))/(x^(4))dx

Evaluate: int(1)/(sqrt(x^(2)-4^(2)))dx

Evaluate: int(1)/((x-1)sqrt(x^(2)+4))dx

Evaluate: int(1)/(sqrt(x)+4sqrt(x))dx

AAKASH INSTITUTE-BINOMIAL THEOREM-Try Yourself
  1. What is the last entry of any row of pascle's triangle?

    Text Solution

    |

  2. What is the 6th sicth entry in row 5 of pascle's triangle?

    Text Solution

    |

  3. Expand (i) (x/3+3y/2)^(5) ,(ii) (x^(2)+2/x)^(4) using pascle's trian...

    Text Solution

    |

  4. Expand (2x^(2) + 4y^(2))^(6) using pascals triangle.

    Text Solution

    |

  5. Expand (i) (x+1/x)^(7) , (ii) (x^(2)+2/x)^(4) using binomial theorem.

    Text Solution

    |

  6. Expand (i) ((2x)/3-(3)/(2x))^(6) , (ii) (2/x-x/2)^(5)

    Text Solution

    |

  7. Byusing binomial theorem evaluate (i) (101)^(3) , (ii) (47)^(4)

    Text Solution

    |

  8. Byusing binomial theorem evaluate (i) (107)^(5) , (ii) (55)^(3)

    Text Solution

    |

  9. Using bionomial theorem, show that (9^(n)-8n-1) is always divisible by...

    Text Solution

    |

  10. With the help of bionomial theorem expansion, show that (4^(n)-3n) is ...

    Text Solution

    |

  11. Find (1+x)^(4) + (1-x)^(4). Hence evaluate (sqrt2+1)^(4) + (sqrt2-1)^(...

    Text Solution

    |

  12. Find (1+x)^(6) - (1-x)^(6). Hence evaluate (1+sqrt3)^(6) - (1-sqrt3)^(...

    Text Solution

    |

  13. Find the fifth expansion of (a/3-3b)^(7)

    Text Solution

    |

  14. Find the fifth expansion of (2x^(2)-1/(3x^(2)))^(10)

    Text Solution

    |

  15. Write down the general term in the expansion of (x^(2)-y^(3))^6. (ii...

    Text Solution

    |

  16. Find the middle term in the expansion of (i). (9/x+x/9)^(8) (ii). (1...

    Text Solution

    |

  17. In the expansion of (1+a)^(34) , if the cofficient of (r-5)^(th) and (...

    Text Solution

    |

  18. (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

    Text Solution

    |

  19. if (1+a)^(n)=.^(n)C(0)+.^(n)C(1)a++.^(n)C(2)a^(2)+ . . .+.^(n)C(n)a^(n...

    Text Solution

    |

  20. If (1+a)^(n)=.^(n)C(0)+.^(n)C(1)a+.^(n)C(2)a^(2)+ . . +.^(n)C(n)a^(n),...

    Text Solution

    |