Home
Class 11
MATHS
Find the coefficient of a^5 b^7 in (a - ...

Find the coefficient of `a^5 b^7` in `(a - 2b)^12 `.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    PSEB|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of a^-6 b^4 in the expansion of (1/a-(2b)/3)^10 .

If the coefficient of x^(7) in [ax^(2) + (1/bx)]^(11) equals the coefficient of x^(-7) in [ax - (1/(bx^(2)))]^(11) then a and b satisfy the relation

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax - (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

Find the coefficient of a^(2)b^(3)c^(4)d in the expansion of (a-b-c+d)^(10) .

Find the product: (a+7)(b-5)

B= (5/2+x/2)^n , A= (1 + 3x)^m Sum of coefficients of expansion of B is 6561 . The difference of the coefficient of third to the second term in the expansion of A is equal to 117 . If n^(m) is divided by 7 , the remainder is

Find the value of : 64a^3+125b^3 , if 4a+5b=-22,ab=-12 .

Identify the coefficients of the terms of the following expressions a+b+5

Find the product: (a^2+2b^2)(5a-3b)

Find the values of a and b in each of the following (7+sqrt5)/(7-sqrt5)-(7-sqrt5)/(7+sqrt5)=a+(7sqrt5b)/11

PSEB-BINOMIAL THEOREM-EXERCISE
  1. Prove that sum(r=0)^n 3^r "^nCr= 4^n.

    Text Solution

    |

  2. Find the coefficient of x^5 in (x + 3)^8

    Text Solution

    |

  3. Find the coefficient of a^5 b^7 in (a - 2b)^12 .

    Text Solution

    |

  4. Write the general term in the expansion of (x^2 - y)^6

    Text Solution

    |

  5. Write the general term in the expansion of (x^2 - yx)^12 , x ne 0.

    Text Solution

    |

  6. Find the 4th term in the expansion of (x-2y)^12.

    Text Solution

    |

  7. Find the 13th term in the expansion of (9x-1/(3sqrtx))^18, x ne 0.

    Text Solution

    |

  8. Find the middle terms in the expansion of:- (3- x^3/6)^7

    Text Solution

    |

  9. Find the middle terms in the expansion of:- (x/3+9y)^10.

    Text Solution

    |

  10. In the expansion of (1 + a)^(m+n), prove that coefficients of a^m and ...

    Text Solution

    |

  11. The coefficients of the (r-1)^(th),r^(th) and (r+1)^(th) terms in the ...

    Text Solution

    |

  12. Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is tw...

    Text Solution

    |

  13. Find a positive value of m for which the coefficient of x^2 in the exp...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |