Home
Class 8
MATHS
Factorize: (i) (a^4-8a^2b^2+16 b^4)-256...

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

Text Solution

AI Generated Solution

Let's factorize the given expressions step by step. ### (i) Factorize: \( a^4 - 8a^2b^2 + 16b^4 - 256 \) **Step 1:** Rewrite the expression in a more manageable form. \[ a^4 - 8a^2b^2 + 16b^4 - 256 = (a^4 - 8a^2b^2 + 16b^4) - 256 \] ...
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

Factorise. (i) a^4 - b^4 (ii) p^4 - 81 (iii) x^4-(y+z)^4 (iv) x^4-(x-z)^4 (v) a^2-2a^2b^2 + b^4

factorize ( i ) 4(a+b)-6(a+b)^(2) (ii) 8(3a-2b)^(2)-10(3a-2b)

Factorise each of the following: (i) 8a^3+b^3+12 a^2b+6a b^2 (ii) 8a^3-b^3-12 a^2b+6a b^2 (iii) 27-125 b^3-135 a+225 a^2 (iv) 64 a^3-27 a^3-144 a^2b+108 a b^2 (v) 27 p^3-1/(216)-9/2p^2+1/4p

Factorize each of the following algebraic expressions: 9a^(4)-24a^(2)b^(2)+16b^(4)-25616-a^(6)+4a^(3)b^(3)-4b^(6)a^(2)-2ab+b^(2)-c^(2)(4)x^(2)+2x+1-9y^(2)a^(2)+4ab+3b^(2)(6)96-4x-x^(2)

A factor of a^(4) -11 a^(2) b^(2) +b^(4) is

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

If a^4+b^4=a^2b^2 then a^6+b^6=

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

If a^4+a^2b^2+b^4=8 and a^2+ab+b^2=4 then ab=

RD SHARMA-FACTORISATION-All Questions
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Factorize each of the quadratic polynomials: x^2+5x-36

    Text Solution

    |