Home
Class 9
MATHS
The factors of x^3-x^2y-x y^2+y^3 are (a...

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

Text Solution

Verified by Experts

Correct option is (D)
`x^3-x^2y-x y^2+y^3`
`=x^2(x-y)-y^2(x-y)`
`=(x-y)\(x+y)\(x-y)`
`=(x-y)^2\(x+y)`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos

  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

The factors of x^(2)+4y^(2)+4y-4xy-2x-8 are (a)(x-2y-4)(x-2y+2)(b)(x-y+2)(x-4y-4)(c)(x+2y-4)(x+2y+2) (d) none of these

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

The factors of x^(3)-1+y^(3)+3xy are (a) (x-1+y)(x^(2)+1+y^(2)+x+y-xy)( b) (x+y+1)(x^(2)+y^(2)+1-xy-x-y)( c) (x-1+y)(x^(2)-1-y^(2)+x+y+xy)(d)3(x+y-1)(x^(2)+y^(2)-1)

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)

The following steps are involved in the factorisation of x^(2) (x - y) + (y-x) y^(2) . Arrange them in sequential order from the first to the last . (A) (x-y) [x^(2) - y^(2)] (B) x^(2)(x-y) - ( x- y) y^(2) (C) (x-y)^(2) (x + y) (D) (x-y) [(x + y)( x-y)]

(x + 2) (x + 1) = (x -2) (x -3) (y+3)(y+2)=(y-1)(y-2)

Factorize : ( 2x + 3y )^2 + 2 (2x + 3y ) ( x + y ) + ( x + y )^2

The third proportional to (x^(2)-y^(2)) and (x-y) is (x+y) b.(x-y)c(x+y)/(x-y) d.(x-y)/(x+y)

RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. If a^2+b^2+c^2=250 and a b+b c+c a=3, find a+b+c

    Text Solution

    |

  2. Write the value of 25^3-75^3+50^3,If a+b+c=0

    Text Solution

    |

  3. Write the value of 48^3-30^3-18^3

    Text Solution

    |

  4. Write the value of (1/2)^3+(1/3)^3-\ (5/6)^3

    Text Solution

    |

  5. Write the value of 30^3+20^3-50^3

    Text Solution

    |

  6. The factors of a^2-1-2x-x^2 are (a)(a-x+1)(a-x-1) (b)(a+x-1)(a-x+1) (c...

    Text Solution

    |

  7. The factors of x^4+x^2+25 are (a)(x^2+3x+5)(x^2-3x+5) (b)(x^2+3x+5)(x...

    Text Solution

    |

  8. The factors of x^2+4y^2+4y-4x y-2x-8 are (a)(x-2y-4)(x-2y+2) (b) (x-y...

    Text Solution

    |

  9. The factors of x^3-x^2y-x y^2+y^3 are (a(x+y)(x^2-x y+y^2) (b) (x+y...

    Text Solution

    |

  10. The factors of x^3-1+y^3+3x y are (a) (x-1+y)(x^2+1+y^2+x+y-x y) (b)...

    Text Solution

    |

  11. The factors of 8a^3+b^3-6a b+1 are (a) (2a+b-1)(4a^2+b^2+1-3a b-2a) ...

    Text Solution

    |

  12. (x+y)^3−(x−y)^3 can be factorized as  (a) 2y(3x^2+y^2) (b) 2x(3x^2+y...

    Text Solution

    |

  13. The factors of x^3-7x+6 are

    Text Solution

    |

  14. The expression (a-b)^3+\ (b-c)^3+\ (c-a)^3 can be factorized as (a)(a-...

    Text Solution

    |

  15. The expression x^4+4 can be factorized as (a) (x^2+2x+2)(x^2-2x+2) (...

    Text Solution

    |

  16. If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x...

    Text Solution

    |

  17. If (x+y)^3-\ (x-y)^3-6y\ (x^2-y^2)=\ k y^3, then k= (a)1 (b) 2 (c) ...

    Text Solution

    |

  18. If x^3-3x^2+3x+7=(x+1)(a x^2+b x+c),\ then a+b+c= (a)4 (b) 12 (c) ...

    Text Solution

    |

  19. The value of ((2. 3)^3-\ 0. 027\ )/((2. 3)^2+\ 0. 69+0. 09) is (a)2 (b...

    Text Solution

    |

  20. The value of ((0. 013)^3+\ (0. 007)^3)/((0. 013)^2-\ 0. 013\ xx\ 0. 00...

    Text Solution

    |