Home
Class 12
MATHS
The factors of 8a^3+b^3-6a b+1 are (2a+...

The factors of `8a^3+b^3-6a b+1` are `(2a+b-1)(4a^2+b^2+1-3a b-2a)` `(2a-b+1)(4a^2+b^2-4a b+1-2a+b)` `(2a+b+1)(4a^2+b^2+1-2a b-b-2a)` `(2a-1+b)(4a^2+1-4a-b-2a b)`

A

`(2a + b + 1)(4x^2 + b^2 + 1-2ab-b-a)`

B

`(2a + b + 1) (4a^2 + a^2 + 1-2ab-b-2a)`

C

`(2a+b+ 1)(4a^2 +b^2 +1-2ab-b-2a)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FACTORISATION OF POLYNOMIALS

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam |30 Videos
  • BANKING

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam|15 Videos
  • GEOMETRY

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster For Cracking Exam|20 Videos

Similar Questions

Explore conceptually related problems

The factors of 8a^(3)+b^(3)-6ab+1 are (a) (2a+b-1)(4a^(2)+b^(2)+1-3ab-2a) (b) (2a-b+1)(4a^(2)+b^(2)-4ab+1-2a+b)(2a+b+1)(4a^(2)+b^(2)+1-2ab-b-2a) (d) (2a-1+b)(4a^(2)+1-4a-b-2ab)

The factors 8(a-2b)^(2)-2a+4b-1= are

Simplify: a^(2)b(a-b^(2))+ab^(2)(4ab-2a^(2))-a^(3)b(1-2b)

|[a^(2), b^(2), c^(2)], [(a+1)^(2), (b+1)^(2), (c+1)^(2)], [(a-1)^(2), (b-1)^(2), (c-1)^(2)]| =-4(a-b)(b-c)(c-a)

Simplify.(4a-b)/(1-4ab)-(4a+b)/(1+4ab)-(4b(1-8a^(2)))/(16a^(2)b^(2)-1)

ARIHANT PUBLICATION JHARKHAND-FACTORISATION OF POLYNOMIALS-Exam Booster for Cracking Exam
  1. What are the factors of (a^3 - 2sqrt2b^3) ?

    Text Solution

    |

  2. What are the factors of 32x^4 - 500x ?

    Text Solution

    |

  3. What are the factors of [(a-b)-a^3+b^3] ?

    Text Solution

    |

  4. What are the factors of (a-b)^3 +(b-c)^3 +(c-a)^3 ?

    Text Solution

    |

  5. What are the factors of [(5a - 7b)^3 + (9c - 5a)^3 + (7b - 9c)^3 ] ?

    Text Solution

    |

  6. What is the remainder when (4x^3 - 3x^2 + 2x - 1) is divided by (x + 2...

    Text Solution

    |

  7. What is the remainder when 12x^3 - 13x^2 – 5x + 7 is divided by (3x + ...

    Text Solution

    |

  8. What are the factors of (1/3x^2-2x-9) ?

    Text Solution

    |

  9. What are the factors of (6sqrt3x^2 – 47x + 5sqrt3)?

    Text Solution

    |

  10. What must be added to1/x to make it equal to x ?

    Text Solution

    |

  11. If a + b + c = 10 and ab + bc + ac = 31, then the value of a^2 +b^2 +...

    Text Solution

    |

  12. The factors of (x^4 + x^2 + 25) are

    Text Solution

    |

  13. The factors of 8a^3+b^3-6a b+1 are (2a+b-1)(4a^2+b^2+1-3a b-2a) (2a...

    Text Solution

    |

  14. The factors of (x^2 + 2x)^2 - 3(x^2 + 2x) - y(x^2 + 2x) + 3y are

    Text Solution

    |

  15. The factors of x^2 + (1)/(4x^2) +1- 2x -1/x are

    Text Solution

    |

  16. The factors of x^4 - 14x^2y^(2) - 51y^4

    Text Solution

    |

  17. The remainder when 4a^3 – 12a^2 + 14a - 3 is divided by 2a – 1 is

    Text Solution

    |

  18. If the polynomials (2x^3 + ax^2 + 3x - 5) and (x^3 + x^2 - 2x + a) l...

    Text Solution

    |

  19. The factors of 4x^3 + 23x^2 - 41x – 42 are

    Text Solution

    |

  20. If (x^3 + ax2 + bx + 6) has (x - 2) as a factor and leaves a remaind...

    Text Solution

    |