Home
Class 14
MATHS
The G.C.D of 2(x^(2) -y^(2)) and 5(x^(3)...

The G.C.D of `2(x^(2) -y^(2))` and `5(x^(3)-y^(3))` is :

A

`2(x^2-y^2)`

B

x+y

C

x-y

D

`10(x^2-y^2)(x^2+y^2+xy)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|72 Videos
  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

Similar Questions

Explore conceptually related problems

y=x^(3)-4x^(2)+5 . Find (dy)/(dx) , (d^(2) y)/(dx^(2)) and (d^(3)y)/(dx^(3)) .

If x=5,backslash backslash y=3, the value of (x^(3)-y^(3))/(x^(2)-y^(2))-(3xy)/(x+y) will be (a)1(b)(1)/(2)(c)(3)/(2) (d) (5)/(2)

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

If x^(2)y^(3)=(x+y)^(5), then (d^(2)y)/(dx^(2)) is

The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))

x^(2)dx-y^(2)dy+xdx=dy-ydy-dx A) 2(x^(3)-y^(3))-3(x^(2)+y^(2))+6(x-y)=c B) 2(x^(3)-y^(3))+3(x^(2)-y^(2))+6(x+y)=c C) 2(x^(3)-y^(3))-3(x^(2)+y^(2))-6(x-y)=c D) 2(x^(3)-y^(3))+3(x^(2)+y^(2))+6(x-y)=c

(x+y)^(3)-(x-y)^(3) can be factorized as 2y(3x^(2)+y^(2)) (b) 2x(3x^(2)+y^(2))2y(3y^(2)+x^(2)) (d) 2x(x^(2)+3y^(2))

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

HCF of x^2 - y^2 and x^3 - y^3 is (A) x-y (B) x^3 -y^3 (C ) (x^2 - y^2) (D) (x+y ) (x^2 xy + y^2)

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. Which of the following statements are true? 1. LCM of 10a^(2)b, 15ab...

    Text Solution

    |

  2. LCM of (2x^2-3x-2)and(x^3-4x^2+4x)

    Text Solution

    |

  3. The G.C.D of 2(x^(2) -y^(2)) and 5(x^(3)-y^(3)) is :

    Text Solution

    |

  4. The GCD of (x^(4)-4x^(2)+3) and (x^(4)-x^(2)-6) is :

    Text Solution

    |

  5. The HCF of (x^(2)-4)(x^(2)-5x-6) and (x^(2)+x-6) is :

    Text Solution

    |

  6. The GCD of [x^(2)-ax-(a+1)] and [ax^(2)-x-(a+1)] is :

    Text Solution

    |

  7. LCM of the polynomials P and Q, where P=(x-2)(x+1)^(2)(x+3)^(2) Q=...

    Text Solution

    |

  8. The LCM of (a^(3)+b^(3)) and (a^(4)-b^(4)) is :

    Text Solution

    |

  9. The HCF of (x^4-1) and (x^3+x^2+x+1) is:

    Text Solution

    |

  10. The GCD of (2x^(2)-4x), (3x^(4)-12x^(2)) and (2x^(5)-2x^(4)-4x^(3)) is...

    Text Solution

    |

  11. The HCF of two expressions P and Q is 1. Their LCM is :

    Text Solution

    |

  12. The LCM of (x+2)^2(x-2) and (x^2-4x-12) is:

    Text Solution

    |

  13. The HCF of a^2-ab-2b^2 and 2a^2-ab-b^2 is :

    Text Solution

    |

  14. HCF and LCM of a^(2)b^(3)c^(4) and a^(5)b^(4)c^(3) are :

    Text Solution

    |

  15. Express each of the following as a rational expression. ((x+3))/((x-...

    Text Solution

    |

  16. Express each of the following as a rational expression. (x+1)/(x-1)+...

    Text Solution

    |

  17. Express each of the following as a rational expressions.(x^2-5x+6)/(x^...

    Text Solution

    |

  18. Express each of the following as a rational expression. Sum of (2x^(...

    Text Solution

    |

  19. Express the following in the lowest terms. ((x-3)(x^(2)-5x+4))/((x-4...

    Text Solution

    |

  20. Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(...

    Text Solution

    |