Home
Class 9
MATHS
Factorise each of the following (i) 8a...

Factorise each of the following
`(i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab ^(2)`
(ii) `8a ^(3) - b ^(3) -12a ^(2) b+ 6ab ^(2)`
(iii) `1- 64 a ^(3) -12a + 48 a ^(2)`
(iv) `8p^(3) - (12)/(5) p^(2) + (6)/(25) p- (1)/(125)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(2a + b )^(3)
(ii) `(2a -b) ^(3)`
(iii) `(1- 4a ) ^(3)`
(iv) `(2p - (1)/(5)) ^(3)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS AND FACTORISATION

    NCERT GUJARATI|Exercise THINK DISCUSS AND WRITE|2 Videos
  • POLYNOMIALS AND FACTORISATION

    NCERT GUJARATI|Exercise DO THESE|22 Videos
  • POLYNOMIALS AND FACTORISATION

    NCERT GUJARATI|Exercise EXERCISE 2.4|10 Videos
  • LINES AND ANGLES

    NCERT GUJARATI|Exercise THINK, DISCUSS AND WRITE|1 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise DO THIS|3 Videos

Similar Questions

Explore conceptually related problems

Factorise each of the following : 64a^(3) - 27b^(3) - 144a^(2)b + 108ab^(2)

Factorise : 8a^(3) + 27b^(3) + 36a^(2)b + 54 ab^(2)

Factorise a ^(3) - 3a^(2) b + 3ab ^(2) -b ^(3)

Solve the following :- (i) 2+4-9 (ii) 3+6-10 (iii) 12-5-3 (iv) 100-50+40 (v) 5^(3)-3^(4)-2^(2) (vi) 6^(4)+2^(2)-8^(3)

Write the following cubes in the expended from (i) (2a + 3b) ^(3) (ii) (2p -5) ^(3)

Factorise : (1)/(8)a^(3) + (1)/(125)b^(3)

Factorise : x^(3) + 8x^(2) + 19x + 12

NCERT GUJARATI-POLYNOMIALS AND FACTORISATION -EXERCISE 2.5
  1. Use suitable idntities to find the following products (i) (x +5) (x ...

    Text Solution

    |

  2. Evaluate the following products without actual multiplication. (i) 1...

    Text Solution

    |

  3. Factorise the following using appropriate identities. (i) 16x ^(2) +...

    Text Solution

    |

  4. Expand each of the following, using suitable identities (i) (x + 2y+...

    Text Solution

    |

  5. Factories (i) 25 x ^(2) + 16 y ^(2) + 4z ^(2) - 40 xy + 16 xy - 20xy...

    Text Solution

    |

  6. If a + b +c =9 and ab + bc + ca =26, then find a ^(2) + b ^(2) + c ^(2...

    Text Solution

    |

  7. Evaluate the following using suitable identites. (i) (99) ^(3) " "(...

    Text Solution

    |

  8. Factorise each of the following (i) 8a ^(3) + b^(3) + 12a ^(2) + 6ab...

    Text Solution

    |

  9. Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) ...

    Text Solution

    |

  10. Faactorise (i) 27a ^(3) + 64 b ^(3) (ii) 343 y ^(3) -1000 using th...

    Text Solution

    |

  11. Factorise 27 x ^(3) + y ^(3) + z ^(3)-9 xyz using identitiy.

    Text Solution

    |

  12. Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(...

    Text Solution

    |

  13. (a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) ...

    Text Solution

    |

  14. Without actual calculating the cubes, find the vlaue of each of the fo...

    Text Solution

    |

  15. Gi ven possible expressions for the length and breadth of the rectangl...

    Text Solution

    |

  16. What are the possible polynomial expressions for the dimensions of the...

    Text Solution

    |

  17. If 2 (a ^(2) + b ^(2)) = (a+b)^(2), then show that a =b

    Text Solution

    |