Home
Class 12
MATHS
Find (a+b)^4-(a-b)^4. Hence, evaluate (s...

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

Text Solution

AI Generated Solution

To solve the problem `(a+b)^4 - (a-b)^4`, we will use the Binomial Theorem. ### Step-by-Step Solution: 1. **Apply the Binomial Theorem**: The Binomial Theorem states that: \[ (x+y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k ...
Promotional Banner

Topper's Solved these Questions

  • AREA OF CURVILINEAR FIGURES

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|9 Videos
  • CARTESIAN AND POLAR COORDINATE SYSTEM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|26 Videos

Similar Questions

Explore conceptually related problems

Find (a+b)^(4)-(a-b)^(4). Hence evaluate (sqrt(3)+sqrt(2))^(4)-(sqrt(3)-sqrt(2))^(4)

Find quad (a+b)^(4)-(a-b)^(4) Hence,evaluate (sqrt(3)+sqrt(2))^(4)-(sqrt(3)-sqrt(2))^(4)

Find (x+a)^(3)-(x-a)^(3) . Hence evaluate (sqrt(5)+sqrt(4))^(3)-(sqrt(5)-sqrt(4))^(3)

Evaluate sqrt(4+3sqrt(-20))+sqrt(4-3sqrt(-20)) .

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

Evaluate: sqrt(3+4sqrt(-7))

Evaluate 2[4(sqrt(3))^3.sqrt(2)+4(sqrt(2))(sqrt(3))^3]

Evaluate sqrt(4)+sqrt(4)+sqrt(4)

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

Evaluate: sqrt(1+4sqrt(-3))

MAHAVEER PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Find the co-efficient of 1/x in the expansion of (3/x^2-x^3/3)^8.

    Text Solution

    |

  2. Expand of the expression : (2x-3)^6

    Text Solution

    |

  3. Expand of the expression : (x/3+1/x)^5

    Text Solution

    |

  4. Expand of the expression : (x+1/x)^6

    Text Solution

    |

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

    Text Solution

    |

  6. Find a if the 7th and 18th terms of the expansion (2+a)^(50) are equal...

    Text Solution

    |

  7. Find the coefficient of x^6y^3 in the expansion of (x+2y)^9dot

    Text Solution

    |

  8. Find the 13^(t h)term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

    Text Solution

    |

  9. Find middle term of (x+2/(x^2))^17

    Text Solution

    |

  10. Find middle term of (x+2/(x^2))^16

    Text Solution

    |

  11. Find the middle term in the expansion of (3x-(x^3)/6)^9

    Text Solution

    |

  12. Find middle term of (2x+1/(x^2))^18

    Text Solution

    |

  13. Show that there are no terms independent of in the expansion of (x+1/x...

    Text Solution

    |

  14. Find the co-efficient of x^4 in the expansion of (2x^2+1/x)^20.

    Text Solution

    |

  15. Find the co-efficient of y^4 in (y+c^3/y^2)^10.

    Text Solution

    |

  16. Write down the 6^(th) term in the expansion of (x^2-2x)^10.

    Text Solution

    |

  17. Find the term of x in the following binomial expansions (x!=0): (2x^2-...

    Text Solution

    |

  18. Find the term independent of x in the expansion of ((3)/(2) x^(2) -...

    Text Solution

    |

  19. Find the term independent of x in the expansion off the following expr...

    Text Solution

    |

  20. If (1+x)^n=C0+C1x+C2x^2++Cnx^n, prove that C1+2C2+3C3++ ^nCn=n2^(n-1)

    Text Solution

    |