Home
Class 14
MATHS
If x + y + z = 6 then the value of ( ...

If ` x + y + z = 6` then the value of `( x - 1) ^(3) + ( y - 2) ^(3) + ( z - 3) ^(3)` is

A

`3 ( x - 1) ( y - 2) ( x - 3)`

B

` 3xyz`

C

` ( x - 1) ( y - 2) ( z - 3)`

D

` 2 ( x - 1) ( y - 2) ( x - 3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    KIRAN PUBLICATION|Exercise Questions Asked In Previous SSC Exams (Type - III) |17 Videos

  • ALGEBRA

    KIRAN PUBLICATION|Exercise Questions Asked In Previous SSC Exams (Type - IV) |59 Videos

  • ALGEBRA

    KIRAN PUBLICATION|Exercise Test Yourself |25 Videos

  • ALLIGATION OR MIXTURES

    KIRAN PUBLICATION|Exercise TEST YOURSELF|27 Videos

Similar Questions

Explore conceptually related problems

If x=1, y=2 and z =3 then find the value of x^3 - z^3 + y^3

If x = 1, y = 2 , z = 5 , find the value of x^3 - y^3 -z^3

If x = 2a- 1, y = (2a - 2) and z =3 - 4a, then the value of x ^(3) + y ^(3) + z ^(3) will be :

Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

What is the value of ((x - y)^3 + (y - z)^3 + (z - x)^3)/(9(x - y)(y - z)(z - x)) ?

KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
  1. If a = 2 + sqrt3, then the value of (a ^(6) + a ^(4) + a ^(2) + 1)/(a ...

    Text Solution

    |

  2. If x = sqrt(5) + sqrt(3) and y = sqrt( 5) - sqrt(3) , then value of ...

    Text Solution

    |

  3. If x + y + z = 6 then the value of ( x - 1) ^(3) + ( y - 2) ^(3) + ...

    Text Solution

    |

  4. If p^(4) = 119 - (1)/( p^(4)) then the value of p^(3) - (1)/( p^(3))...

    Text Solution

    |

  5. If m + ((1)/( m)) = 2 then the value of m^(3) - 3 m^(3) + 3 m + 3 n...

    Text Solution

    |

  6. If m=- 4 , n=-2 then the value of m^3 - 3m + 3m + 3n + 3n^2 + n...

    Text Solution

    |

  7. Given that x^(3) + y^(3) = 72 and xy = 8 with x gt y . Then th...

    Text Solution

    |

  8. If x = 2 then the value of x^(3) + 27 x^(2) + 243 x + 631 is

    Text Solution

    |

  9. If ( x^(24) + 1)/( x^(12)) = 7 then the value of ( x^(72) + 1)/( x^...

    Text Solution

    |

  10. The HCF of x^(8) - 1 and x^(4) + 2 x ^(3) - 2 x - 1 is

    Text Solution

    |

  11. If x^(2) + y^(2) + z^(2) = 2 ( x + z -1 ) then the value of : x ^(...

    Text Solution

    |

  12. If x^(2) + x = 5 then the value of ( x + 3) ^(3) + (1)/( ( x + 3) ...

    Text Solution

    |

  13. If 4 a - (4)/( a) = 3 then the value of : a^(3) - (1)/( a^(3) ) +...

    Text Solution

    |

  14. If a + b - c = 0 then the value of 2b^(2) c^(2) + 2 c ^(2) a^(2) + ...

    Text Solution

    |

  15. If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is

    Text Solution

    |

  16. If ( m + 1) = sqrt( n) + 3 the value of (1)/(2) (( m^(3) - 6 m^(2) ...

    Text Solution

    |

  17. If ( 3 x - 2y) : ( 2x + 3y) = 5 : 6 then one of the value of ((3 sq...

    Text Solution

    |

  18. If ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p...

    Text Solution

    |

  19. If a + b = 1. Find the value of a ^(3) + b ^(3) - ab - (a ^(2) - b ^(2...

    Text Solution

    |

  20. If x = a ^((1)/(2) ) + a ^((-1)/(2)) , y = a ^((1)/(2) ) - a ^((-1)/(2...

    Text Solution

    |