Home
Class 9
MATHS
Simplify : (a+b+c)^2...

Simplify : `(a+b+c)^2`

Text Solution

Verified by Experts

`(a+b+c)^2=(a+b+c)(a+b+c)`
`a^2+ab+ac+b^2+ba+bc+ca+cb+c^2`
`=a^2+b^2+c^2+2ab+2bc+2ca`
`=a^2+b^2+c^2+2(ab+bc+ca)`.
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

Simplify (ab- c) ^(2) + 2 abc

Simplify: (a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca)

Simplify : (a) (a+b+c)(a-b-c)

Simplify : (a+b)(a^(2)+b^(2))(a^(4)+b^(4))(a-b)

Simplify (a - b) (a ^(2) + b ^(2) + ab) - (a +b) (a ^(2) +b ^(2) - ab)

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

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

Simplify (3a-2b)^2xx (3a+2b)^2

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Prove that a^2+b^2+c^2-a b-b c-c a is always non-negative for all valu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

  12. Find the following products: (i) (0. 9 x+0. 7 y)(0. 81 x^2-0. 63 x y+0...

    Text Solution

    |

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

    Text Solution

    |

  14. Without actually calculating the cubes. Find the value of each of t...

    Text Solution

    |

  15. Ifa +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

    |

  16. If x-1/x=3+2sqrt(2) , find the value of x^3-1/(x^3)

    Text Solution

    |

  17. If x+y=12 and x y=32 , find the value of x^2+y^2dot

    Text Solution

    |

  18. If 3x+2y=12 and x y=6, find the value of 9x^2+4y^2 (3x+2y)^2=9x^2+4y...

    Text Solution

    |

  19. If x+1/x=6 , find x^2+1/(x^2) (ii) x^4+1/(x^4) (x+1//x)^2=6 x^2+1/...

    Text Solution

    |

  20. If x^2+1/(x^2)=27 , find the values of each of the following: x+1/x (...

    Text Solution

    |