Home
Class 9
MATHS
If a+b+c=6 and a b+b c+c a=11 , find the...

If `a+b+c=6` and `a b+b c+c a=11` , find the value of `a^3+b^3+c^3-3a b c `

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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 b c

If a+b+c=15 and a^2+b^2+c^2=83 , find the value of a^3+b^3+c^3-3abc

When a=3,b=0, c=-2 find the value of : a^(3)+b^(3)+c^(3)-3abc

If a+b+c=0, then write the value of a^3+b^3+c^3

If a=2, b-=3 and c=5 , then find the value of a^3+b^3+c^3 .

If a=2, b-=3 and c=5 , then find the value of a^3+b^3+c^3 .

RD SHARMA ENGLISH-ALGEBRAIC IDENTITIES-All Questions
  1. Find the value of 4x^2+y^2+25 z^2+4x y-10 y z-20 z x when x=4,y=3 and ...

    Text Solution

    |

  2. If a^2+b^2+c^2=250 and a b+b c+c a=3, find a+b+c

    Text Solution

    |

  3. If a+b+c=6 and a b+b c+c a=11 , find the value of a^3+b^3+c^3-3a b c

    Text Solution

    |

  4. Find the following products: (i) (x+y+2z)(x^2+y^2+4z^2-x y-2y z-2x z)...

    Text Solution

    |

  5. If x-1/x=-1, find the value of x^2+1/(x^2)

    Text Solution

    |

  6. If a^2+b^2+c^2-a b-b c-c a=0, then find the relation between a,b and c

    Text Solution

    |

  7. If 9x^2+25 y^2=181 and x y=-6, find the value of 3x+5y

    Text Solution

    |

  8. if a-b=6 , ab=20 . find a^3-b^3

    Text Solution

    |

  9. Write the following in expanded form: (i)(9x+2y+z)^2 (ii) (3x+2y...

    Text Solution

    |

  10. Prove that a^2+b^2+c^2-a b-b c-c a is always non-negative for all valu...

    Text Solution

    |

  11. If a+b+c=9 and a b+b c+c a=40 , find a^2+b^2+c^2dot

    Text Solution

    |

  12. Simplify : (i)(a+b+c)^2 (ii) (a+b+c)^2-(a-b-c)^2

    Text Solution

    |

  13. If x^2+1/(x^2)=98 , find the value of x^3+1/x^3

    Text Solution

    |

  14. Simplify the following: 7x^3+8y^3-(4x+3y)(16 x^2-12 x y+9y^2)

    Text Solution

    |

  15. If a-b=6 and a b=20 , find the value of a^3-b^3

    Text Solution

    |

  16. If a+b=10 and a b=21 , find the value of a^3+b^3

    Text Solution

    |

  17. If 4x^2+y^2=40 and x y=6, find the value of 2x+ydot

    Text Solution

    |

  18. If a+b=7 and a b=12 , find the value of (a^2-a b+b^2)

    Text Solution

    |

  19. If x^2+1/(x^2)=83. find the value of x^3-1/x^3

    Text Solution

    |

  20. If x+y+z=1,x y+y z+z x=-1 and x y z=-1, find the value of x^3+y^3+z^3d...

    Text Solution

    |