Home
Class 9
MATHS
Evaluate: 30^3+20^3-50^3...

Evaluate: `30^3+20^3-50^3`

Text Solution

Verified by Experts

Given:
`30^3+20^3-50^3=30^3+20^3−(20+30)^3`
`=30^3+20^3−20^3−30^3−3xx20xx30xx(50)`
`=-90000`
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

Find the value of 30^(3)+20^(3)-50^(3)+90000(i)1(ii)-1(iii)-90000(iv)0

Write the value of 30^(3)+20^(3)-50^(3)

Evaluate: 25^(3)-75^(3)+50^(3)

Evaluate: 48^(3)-30^(3)-18^(3)

Evaluate ""^(20)P_(3)

If b+c =10, c +a =20 , a+b =30 then value of a^(3) +b^(3) +c^(3) is

Use properties of determinants to evaluate : |{:(2,3,5),(261,127,388),(20,30,50):}|

Find the mean of the following frequency distributions: Class interval: 10-30 30-50 50-70 70-90 90-110 110-130 Frequency: 5 8 12 20 3 2

If the median of the following data is 32.5, find the missing frequencies. Class interval: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Total Frequency: f_1 5 9 12 f_2 3 2 40

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Find the product: (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

    Text Solution

    |

  2. 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

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

  9. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

  14. 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

    |

  15. 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

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |