Home
Class 9
MATHS
Without actually calculating the cub: (-...

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

Text Solution

AI Generated Solution

To solve the problem \((-12)^3 + 7^3 + 5^3\) without actually calculating the cubes, we can use the algebraic identity that states: If \(a + b + c = 0\), then \(a^3 + b^3 + c^3 = 3abc\). ### Step-by-Step Solution: 1. **Identify the values of \(a\), \(b\), and \(c\)**: - Let \(a = -12\), \(b = 7\), and \(c = 5\). ...
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

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

Without actually calculating the cubes.Find the value of each of the following: (-12)^(3)+7^(3)+5^(3)(28)^(3)+(-15)^(3)+(-13)^(3)

Without actually calculating the cubes,find the value of each of the following: (i) quad (-12)^(3)+(7)^(3)+(5)^(3)( (ii) (28)^(3)+(-15)^(3)+(-13)^(3)

Without actually calculating the cubes, evaluate the expression (30)^(3)+(-18)^(3)+(-12)^(3) .

without actually calculating , the cubes , find the valuse of (i) ((1)/(2))^(3)+((1)/(3))^(3)-((5)/(6))^(3) (ii) (0.2)^(3)-(0.3)^(3)+(0.1)^(3)

Without actually calculating the zeroes, from a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial 5x^2+2x-3

Without calculating the actual cube find the value of (-12)^(3)+7^(3)+5^(3) and 28^(3)+(-15)^(3)+(-13)^(3)

Without actual division , prove that (2x^(4)+3x^(3)-12x^(2)-7x+6) is exactly divisible by (x^(2)+x-6) .

Without actually performing the long division, write the decimal expansion of 11725/(2^3 times 5^4)

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

  11. 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

    |

  12. 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

    |

  13. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Evaluate: (0. 2)^3-\ (0. 3)^3+\ (0. 1)^3

    Text Solution

    |

  18. If x+1/x=3, then find the value of x^2+1/x^2

    Text Solution

    |

  19. If x+1/x=3, then the value of x^6+1/x^6is.

    Text Solution

    |

  20. If a+b=7\ \ a n d\ \ a b=12 , find the value of a^2+b^2

    Text Solution

    |