Home
Class 9
MATHS
Verify (i) x ^(3) + y ^(3) = (x + y)...

Verify
(i) ` x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2))`
(ii) `x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2))`
using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise Skill Testing Exercise|133 Videos

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise Multiple Choice Questions (MCQs)|20 Videos

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise Exercise - 2.4|19 Videos

  • NUMBER SYSTEMS

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|20 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Multiple Choice Questions (MCQs)|10 Videos

Similar Questions

Explore conceptually related problems

x^(2)(dy)/(dx) = x^(2) - 2y^(2) + xy

Factorise 8x ^(3) + 36 x ^(2) y + 54 xy ^(2) + 27 y ^(3).

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

Factorise : 8x^(3) + 27y^(3) + 36x^(2)y + 54xy^(2)

Factorise (i) x ^(2) - 2x ^(2) - x +2 (ii) x ^(3) - 3x ^(2) - 9x -5 (iii) x ^(3) + 13 x ^(2) + 32 x + 20 (iv) y ^(3) + y ^(2) -y -1

Factorise : 8x^(3) - 125y^(3) - 60x^(2)y + 150 xy^(2)

Factorise : 27x^(3) - 64y^(3) - 108 x^(2)y + 144 xy^(2)

simplify (3x-y)^(2)-(2x-3y)^(2)

Expand (4x - 2y-3z) ^(2) using identity

KUMAR PRAKASHAN-POLYNOMIALS-Exercise - 2.5
  1. Evaluate the following uing suitable identities : (99)^(3)

    Text Solution

    |

  2. Evaluate the following uing suitable identities : (102)^(3)

    Text Solution

    |

  3. Evaluate the following uing suitable identities : (998)^(3)

    Text Solution

    |

  4. Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab...

    Text Solution

    |

  5. Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab...

    Text Solution

    |

  6. Factorise each of the following : 27-125a^(3)-135a + 225a^(2)

    Text Solution

    |

  7. Factorise each of the following : 64a^(3) - 27b^(3) - 144a^(2)b + 10...

    Text Solution

    |

  8. Factorise each of the following : 27p^(3) - (1)/(216)-(9)/(2)p^(2) +...

    Text Solution

    |

  9. Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) ...

    Text Solution

    |

  10. Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) ...

    Text Solution

    |

  11. Factorise each of the following : 27y^(3) + 125z^(3)

    Text Solution

    |

  12. Factorise each of the following : 64m^(3) - 343 n^(3)

    Text Solution

    |

  13. Factorise 27 x ^(3) + y ^(3) + z ^(3)-9 xyz using identitiy.

    Text Solution

    |

  14. Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(...

    Text Solution

    |

  15. (a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) ...

    Text Solution

    |

  16. Without actually calculating the cubes, find the value of each of the ...

    Text Solution

    |

  17. Without actually calculating the cubes, find the value of each of the ...

    Text Solution

    |

  18. Gi ven possible expressions for the length and breadth of the rectangl...

    Text Solution

    |

  19. Give possible expressions for the length and breadth of each of the fo...

    Text Solution

    |

  20. What are the possible polynomial expressions for the dimensions of the...

    Text Solution

    |