Home
Class 9
MATHS
If a+b+c=6\ a n d\ a b+b c+c a=11 , find...

If `a+b+c=6\ a n d\ a b+b c+c a=11` , find the value of `a^3 + b^3 + c^3 -3abc`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=6 and ab+bc+ca=11, find the value of a^(3)+b^(3)+c^(3)-3abc.

If a = 29, b = 24 and c = 27, find the value of a^3+b^3+c^3-3abc

If a+b+c=9 and ab+bc+ca=26 find the value of a^(3)+b^(3)+c^(3)-3abc

If a+b+c=9 and ab+bc+ca=35, find the value of a^(3)+b^(3)+c^(3)-3abc .

If (a - b) = 3 , (b - c) = 5 and ( c - a) = 1 , then the value of (a^(3) + b^(3) + c^(3) - 3abc)/(a + b + c) is

If a+b+c=6 and ab+bc+ca=10 then the value of a^(3)+b^(3)+c^(3)-3abc is (a) 36 (b) 48( c) 42 (d) 40

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Find the product: (x+y+2z)(x^2+y^2+4z^2-x y-2yz-2zx)

    Text Solution

    |

  2. Find the product: (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

    Text Solution

    |

  3. If a+b+c=6\ a n d\ a b+b c+c a=11 , find the value of a^3 + b^3 + c^3 ...

    Text Solution

    |

  4. Evaluate: 30^3+20^3-50^3

    Text Solution

    |

  5. If a+b+c=15\ a n d\ a^2+b^2+c^2=83 , find the value of a^3+b^3+c^3-3a ...

    Text Solution

    |

  6. Evaluate: 1. 5^3-0. 9^3-0. 6^3

    Text Solution

    |

  7. Without actually calculating the cub: (-12)^3+7^3+5^3

    Text Solution

    |

  8. Without actually calculating the cub: (28)^3+\ (-15)^3+\ (-13)^3

    Text Solution

    |

  9. If x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x y z=-1, find the value of x^3+...

    Text Solution

    |

  10. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a...

    Text Solution

    |

  11. Find the product: (3x+2y+2z)\ \ (9x^2+4y^2+\ 4\ z^2-\ 6\ x y-4\ y z-6z...

    Text Solution

    |

  12. Find the product: (4x-3y+2z)\ (16 x^2+9y^2+4z^2+12 x y+6y z-8z x)

    Text Solution

    |

  13. Find the product: (2a-3b-2c)(4\ a^2+\ 9\ b^2+\ 4\ c^2+\ 6\ a b-6\ b c+...

    Text Solution

    |

  14. Find the product: (3x-4y+5z)\ (9x^2+16 y^2+25 z^2+12 x y-15 z x+20 y z...

    Text Solution

    |

  15. If x+y+z=8\ \ a n d\ \ \ x y+y z+z x=20 , find the value of x^3+y^3+z^...

    Text Solution

    |

  16. If a+b+c=9\ \ \ a n d\ \ \ a b+b c+c a=26 , find the value of a^3+b^3+...

    Text Solution

    |

  17. If a+b+c=9 and a^2+b^2+c^2=35 , find the value of a^3+b^3+c^3-3a b c

    Text Solution

    |

  18. Evaluate: 25^3-75^3+50^3

    Text Solution

    |

  19. Evaluate: 48^3-30^3-18^3

    Text Solution

    |

  20. Evaluate: (1/2)^3+\ (1/3)^3-\ \ (5/6)^3

    Text Solution

    |