Home
Class 9
MATHS
Evaluate: 1. 5^3-0. 9^3-0. 6^3...

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

Text Solution

AI Generated Solution

To evaluate the expression \(1.5^3 - 0.9^3 - 0.6^3\), we can use the algebraic identity for the sum of cubes, which states: \[ A^3 + B^3 + C^3 - 3ABC = (A + B + C)(A^2 + B^2 + C^2 - AB - BC - AC) \] In our case, we can rewrite the expression as: ...
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 ( 4^0 + 5^0 + 6^0 )^-3

Evaluate: ((0.008)/(0.027))^(1/3) -:((0.09)/(0.04))^(1/3) +5/9

Evaluate/ हल कीजिए: 45-5 of (6.3 div 9)+7xx0.5

Value of ( 9^0 + 1/ 5^0 )^3 is

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

Evaluate (5/9)^(-2)xx(3/5)^(-3)xx(3/5)^0

Find the value of ( 2.bar 6 - 0.bar 9 ) is ( a ) 4/3 ( b ) 1 /3 ( c ) 5/3

0.5xx3.9-:1.3=?+0.5

Find the value of x 0.9 : 0.6 :: x : 3

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Evaluate: 30^3+20^3-50^3

    Text Solution

    |

  2. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

  12. 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

    |

  13. 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

    |

  14. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |