Home
Class 8
MATHS
Divide: x^2-5x+6b y\ x-3 (ii) a x^2-a ...

Divide: `x^2-5x+6b y\ x-3` (ii) `a x^2-a y^2b y\ a x+a y`

Text Solution

Verified by Experts

(i)`x^2-5x+6b y\ x-3`
`=x-2`

(ii) `a x^2-a y^2`by `a x+a y`
`=(x-y)`
Promotional Banner

Topper's Solved these Questions

  • DIRECT AND INVERSE VARIATIONS

    RD SHARMA|Exercise All Questions|53 Videos

  • FACTORISATION

    RD SHARMA|Exercise All Questions|98 Videos

Similar Questions

Explore conceptually related problems

Divide: (i) 6x^(5) + 18 x^(4) - 3x^(2) by 3x^(2) (ii) 20 x^(3) y + 12 x^(2) y^(2) - 10 xy by 2xy

{:("Column" A ,, "Column" B), (225x^(2) - 625 y^(2) = ,, (a) 25(x-2) (x-2)), (x^(2) - x - y - y^(2) = ,, (b) 25(3x- 5y) (3x + 5y)), (x^(2) - x - y^(2) + y = ,, (x + y) (x - y- 1)), (25x^(2) - 100 x + 100 = ,, (d) (x - y) (x + y -1)), (,,(e) (x + y) (x + y - 1)):}

3 - [x - {2y - (5x + y - 3) + 2x^(2)} - (x^(2) - 3y)]

Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^2+3x^2y-4y^3 (ii) a^2-2a^3b+3a b^3+4a^2b^2+3b^4,-2a^4-5a b^3+7a^3b-6a^2b^2+b^4

In the algebraic expression 5x^2y+7x y^2-3x y-4y x^2, we have 5x^2y and -4y x^2 as like terms, whereas 7x y^2 and -3x y are unlike terms.

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

Subtract: (i) -8xy from 7xy (ii) x^(2) from -3x^(2) (iii) (x - y) from (4y - 5x) (iv) (a^(2) + b^(2) - 2ab) from (a^(2) + b^(2) + 2ab) (v) (x^(2) - y^(2)) from (2x^(2) - 3y^(2) + 6xy) (vi) (x -y + 3z) from (2z - x - 3y)

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

I. 5x^(2) + 2x - 3 = 0" "II. 2y^(2) + 7y + 6 = 0

Add: (i) x y^2+4x^2y-7x^2y-3x y^2+3\ a n d\ x^(2y)+x y^2 (ii) 5x^2+7y-6z^2,\ 4y+3x^2,9x^2+2z^2-9y\ a n d\ 2y-2x^2

RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Using division of polynomials state whether x+6 is factor ofx^2-x-4...

    Text Solution

    |

  2. Find the value of a, if x+2\ is a factor of \ 4x^4+2x^3-3x^3+8x+5adot

    Text Solution

    |

  3. What must be added to x^4+2x^3-2x^2+x-1\ so that the resulting polyno...

    Text Solution

    |

  4. Divide x^4-x^3+x^2+5\ b y\ (x+1) and write the quotient and remainder.

    Text Solution

    |

  5. Divided: 16 x^4+12 x^3-10 x^2+8x+20\ b y\ 4x-3. Also write the quotien...

    Text Solution

    |

  6. Divide 12 x^3-8x^2-6x+10\ b y\ (3x-2)dot Also, write the quotient and ...

    Text Solution

    |

  7. Divide 8y^3-6y^2+4y-1\ b y\ 4y+2. Also write the quotient and the rema...

    Text Solution

    |

  8. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

    Text Solution

    |

  9. Divide the first polynomial by the second polynomial in each of the ...

    Text Solution

    |

  10. Divide the first polynomial by the second polynomial in each of the ...

    Text Solution

    |

  11. Find , whether or not the first polynomial is a factor of the second...

    Text Solution

    |

  12. Find , whether or not the first polynomial is a factor of the second...

    Text Solution

    |

  13. Find , whether or not the first polynomial is a factor of the second...

    Text Solution

    |

  14. Divide: 35 a^2+32 a-99\ b y\ 7a-9 a x^2+(b+a c)x+b c\ b y\ x+c

    Text Solution

    |

  15. Divide (a^(4) - b^(4)) by a - b and find the quotient and remainder .

    Text Solution

    |

  16. Divide: a^(12)+a^6b^6+b^(12)\ \ b y\ \ a^6-a^3b^3+b^6

    Text Solution

    |

  17. Divide: x^(4a)+x^(2a)y^(2b)+y^(4b)\ b y\ \ x^(2a)+\ x^a\ y^b+\ y^(2b)

    Text Solution

    |

  18. Divide: x^2-5x+6b y\ x-3 (ii) a x^2-a y^2b y\ a x+a y

    Text Solution

    |

  19. Divide: x^4-y^4b y\ x^2-y^2 a c x^2+\ (b c+a d)x+b d\ b y\ (a x+b)

    Text Solution

    |

  20. Divide: (a^2+2a b+b^2)-(a^2+2a c+c^2)b y\ 2a+b+c

    Text Solution

    |