Home
Class 8
MATHS
Factorize: 4x^2-4x y+y^2-9z^2 (ii) 16...

Factorize: `4x^2-4x y+y^2-9z^2` (ii) `16-x^2-2x y-y^2`

Text Solution

AI Generated Solution

Let's factorize the given expressions step by step. ### Part (i): Factorize `4x^2 - 4xy + y^2 - 9z^2` 1. **Identify the first three terms**: We have `4x^2 - 4xy + y^2`. - This can be recognized as a perfect square trinomial. 2. **Rewrite the first three terms**: Notice that `4x^2 - 4xy + y^2` can be expressed as: ...
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: x^(2)-y^(2)-4xz+4z^(2)

Factorize: x^(4)+x^(2)y^(2)+y^(4)

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

Factorize: (3x-2y)^(3)+(2y-4z)^(3)+(4z-3x)^(3)

Factorise : 16 (2x - y) ^(2) - 24 (4x ^(2) - y ^(2) ) + 9 ( 2x + y) ^(2)

Factorize: 4(x-y)^(2)-12(x-y)(x+y)+9(x+y)^(2)

Factorize 9x^2+4y^2+16z^2+12xy-16yz-24xz .

Factor x ^ (4) + x ^ (2) y ^ (2) + y ^ (4)

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-FACTORISATION-All Questions
  1. Factorize: (i)x^2+8x+16 (ii) 4a^2-4a+1

    Text Solution

    |

  2. Factorize: (i)4x^2+12 x y+9y^2 (ii) x^4-10 x^2y^2+25 y^4 (iii)a^4-2...

    Text Solution

    |

  3. Factorize: 4x^2-4x y+y^2-9z^2 (ii) 16-x^2-2x y-y^2

    Text Solution

    |

  4. Factorize: (i) (a^4-8a^2b^2+16 b^4)-256 (ii) a^4-6a^2b^2+9b^4-81

    Text Solution

    |

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

    Text Solution

    |

  6. Factorize: (i) 4\ (x+y)^2-28 y(x+y)+49 y^2 (ii) (2a+3b)^2+2(2a+3b)(...

    Text Solution

    |

  7. Factorize each of the following expressions: (i) 9x^2-4y^2 (ii) 36...

    Text Solution

    |

  8. Factorize each of the following expressions: x^2+2x y+y^2-a^2+2a b-...

    Text Solution

    |

  9. Factorize: (i))x^2+8x+15 (ii) x^4+x^2+1

    Text Solution

    |

  10. Factorize: (i) 9-a^6+2a^3b^3-b^6 (ii)x^(16)-y^(16)+x^8+y^8

    Text Solution

    |

  11. Factorize each of the following algebraic expressions: (1)4x^2+12 ...

    Text Solution

    |

  12. Factorize each of the following algebraic expressions: (1) 9a^4-24...

    Text Solution

    |

  13. Factorize each of the following algebraic expressions: (1) a^4+3a^...

    Text Solution

    |

  14. Factorize each of the following algebraic expressions: 49-a^2+8a ...

    Text Solution

    |

  15. Factorize each of the following algebraic expressions: (1) a^2+2a ...

    Text Solution

    |

  16. Factorize each of the expressions: x^2+6x+8

    Text Solution

    |

  17. Factorize each of the following expressions: x^2+4x-21

    Text Solution

    |

  18. Factorize each of the following expressions: x^2-7x+12

    Text Solution

    |

  19. Factorize each of the quadratic polynomials: x^2-23 x+132

    Text Solution

    |

  20. Factorize each of the quadratic polynomials: x^2-21 x+108

    Text Solution

    |