Home
Class 8
MATHS
Factorize the following : (i)20 x^3-4...

Factorize the following :
(i)`20 x^3-40 x^2+80 x`
(ii) `2x^3y^2-4x^2y^3+8x y^4`
(iii) `10 m^3n^2+15 m^4n-20 m^2n^3`
(iv) `2a^4b^4-3a^3b^5-6a b^3`

Text Solution

Verified by Experts

Given:
`(i) 20 x^3-40 x^2+80 x`
`=> 20x(x^2-2x+4)`
`(ii) 2x^3y^2-4x^2y^3+8x y^4`
`=> 2xy^2(x^2-xy+4y^2)`
`(iii) 10 m^3n^2+15 m^4n-20 m^2n^3`
`=> 5m^2n(2mn+3m^2-4n^2)`
`(4) 2a^4b^4-3a^3b^5-6a b^3`
...
Promotional Banner

Topper's Solved these Questions

  • DIVISION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|61 Videos

  • INTRODUCTION TO GRAPHS

    RD SHARMA|Exercise All Questions|31 Videos

Similar Questions

Explore conceptually related problems

Factorize each of the following expressions: 54x^(6)y+2x^(3)y^(4),8x^(2)y^(3)-x^(5)

Add the following expressions: x^3y^2 + x^2y^3 +3y^4 and x^4 + 3x^2y^3 + 4y^4

4x-2y=3 6x-3y=5

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

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

Factorize following expressions (i) a^2-4a+3+2b-b^2" (ii)" x^(4)+324" (iii)"x^4-y^2+2x^2+1 (iv) 4a^4-5a^2+1" (v)"x^6-7x^2-6

Expand the following (i) (4a-b+ac)^(2) (ii) (3a-5b-c)^(2) (iii) (-x+2y-3z)^(2)

Find each of the following products: (i) 5a^(2) b^(2) xx (3a^(2) - 4ab + 6b^(2)) (ii) (-3x^(2)y) xx (4x^(2) y - 3xy^(2) + 4x - 5y)

Expand the following (i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3) (iii) (4-(1)/(3x))^(2)

RD SHARMA-FACTORISATION-All Questions
  1. Factorize : (i) 12 x^3y^3+16 x^2y^5-4x^5y^2 (ii)18 a^3b^2+36 a b^...

    Text Solution

    |

  2. Factorize the following : (1) 3x-9 (2) 5x-15 x^2 (3) 20 a^(12)b^...

    Text Solution

    |

  3. Factorize the following : (i)20 x^3-40 x^2+80 x (ii) 2x^3y^2-4x^2...

    Text Solution

    |

  4. Factorize the following : (i)28 a^2+14 a^2b^2-21 a^4 (ii) a^4b-3a...

    Text Solution

    |

  5. Factorize the following : (1)9x^2y+3a x y (2) 16 m-4m^2 (3)-4a^2...

    Text Solution

    |

  6. Factorize : (i) 7(2x+5)+3(2x+5), (ii) (x+2)y+(x+2)x, (iii) 5a(2x...

    Text Solution

    |

  7. Factorize: (a) (y-x)a+(x-y)b (b)9(a-2b)^2+6(2b-a) (c)(x-2y)^2-4...

    Text Solution

    |

  8. Factorize : (i)(x+y)(2x+3y)-(x+y)(x+1) (ii) (x+y)(2a+b)-(3x-2y)(2...

    Text Solution

    |

  9. Factorize each of the following algebraic expressions: (i) 6x(2x-y...

    Text Solution

    |

  10. Factorize each of the following algebraic expressions: (i) 5(x-2y)...

    Text Solution

    |

  11. Factorize each of the following algebraic expressions: x^4-y^4

    Text Solution

    |

  12. Factorize each of the following algebraic expressions: (i) x^3(a-2...

    Text Solution

    |

  13. Factorize: (i)x^2+x y+8x+8y (ii) 15 x y-6x+10 y-4

    Text Solution

    |

  14. Factorize: (i)15 a b+15+9b+25 a (ii) n-7+7l m-l m n

    Text Solution

    |

  15. Factorize: (i) a x+b x+a y+b y, (ii) a x^2+b y^2+b x^2+a y^2, (iii)...

    Text Solution

    |

  16. Factorize: a^2+2a+a b+2b, x^2-x z+x y-x z

    Text Solution

    |

  17. Factorize each of the following expressions: (i)a^2-b+a ba (ii) x y-...

    Text Solution

    |

  18. Factorize each of the following expressions: (i) 6a b-b^2+12 a c-2b c...

    Text Solution

    |

  19. Factorize each of the following expressions: (i) a^2x^2+(a x^2+1)x+a...

    Text Solution

    |

  20. Factorize each of the following expressions: (i) a^3x+a^2(x-y)-a(y+z)...

    Text Solution

    |