Home
Class 8
MATHS
Factorize : (i) 12 x^3y^3+16 x^2y^5-4x...

Factorize :
(i) `12 x^3y^3+16 x^2y^5-4x^5y^2`
(ii)`18 a^3b^2+36 a b^4-24 a^2b^3`

Text Solution

Verified by Experts

Given:
`(i) 12 x^3y^3+16 x^2y^5-4x^5y^2`
`=> 4x^2y^2(3xy+4y^3-x^3)`
`(ii) 18 a^3b^2+36 a b^4-24 a^2b^3`
`=> 6ab^2(3a^2+6b^2-4ab)`
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

(b) Factorize 4x^(3) - 10y^(3) - 8x^(2) y + 5xy^(2)

(i) 2x+3y=4;3x-y=-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

Factorize: 4x^(2)+12xy+9y^(2)(ii)x^(4)-10x^(2)y^(2)+25y^(4)a^(4)-2a^(2)b^(2)+b^(4)

2x+3y=3 4x+5y=3

Expand : (i) (2x+3y)^(3) " " (ii) (5y-3x)^(3) " " (iii) (2a+3b)^(3) .

Expand : (i) (2x + 5y)^(2) (ii) ((2)/(3) a + (3)/(4) b)^(2)

Find the common factors of the given terms. (i) 12x,36 (ii) 2y,22xy (iii) 14pq, 28p^2q^2 (iv) 2x,3x^2,4 (v) 6abc, 24ab^2, 12a^2b (vi) 16x^3,-4x^2,32x (vii) 10pq, 20qr, 30rp (viii) 3x^2 y^3, 10x^3y^2, 6x^2y^2z

Subtract the sum of - 3x^3y^2 + 2x^2 y^3 and - 3x^2y^3 - 5y^4 " from " x^4 + x^3y^2 + x^2y^3 + y^4

24x^(3)+12x^(2)-8x b y 4x

RD SHARMA-FACTORISATION-All Questions
  1. Find the greatest common factor of the terms in each of the followin...

    Text Solution

    |

  2. Factorize each of the following algebraic expressions: (i)3x+15 ...

    Text Solution

    |

  3. Factorize : (i) 12 x^3y^3+16 x^2y^5-4x^5y^2 (ii)18 a^3b^2+36 a b^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |