Home
Class 9
MATHS
Find the product : (i) (a+2b+4c)(a^(2)...

Find the product :
`(i) (a+2b+4c)(a^(2)+4b^(2)+16c^(2)-2ab-8bc-4ca)`
`(ii) (3x-5y-4)(9x^(2)+25y^(2)+15xy+12x-20y+16)`
`(iii) (2-3b-7c)(4+9b^(2)+49c^(2)+6b-21bc+14c)`
`(iv) (sqrt(2)a+2sqrt(2)b+c)(2a^(2)+8b^(2)+c^(2)-4ab-2sqrt(2)bc-sqrt(2)ac)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) a^(3)+8b^(3)+64c^(3)-24abc " "(ii) 27x^(3)-125y^(3)-64-180xy " " (iii) 8-27b^(3)-343c^(3)-126bc`
`(iv) 2sqrt(2)a^(3)+16sqrt(2)b^(3)+c^(3)-12abc`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|16 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2d|5 Videos

  • NUMBER SYSTEM

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|10 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

Find the product (2a-3b-2c)(4a^(2)+9b^(2)+4c^(2)+6ab-6bc+4ca) .

Factorise : 4a^(2)+9b^(2)+16c^(2)+12ab-24bc-16ca

Find the product: (2a-3b-2c)(4\ a^2+\ 9\ b^2+\ 4\ c^2+\ 6\ a b-6\ b c+4c a)

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

If a + b- c = 4 and a^(2) + b^(2) + c^(2)= 38 , find ab- bc - ca

Factorize: 2sqrt(2)a^3+16sqrt(2)b^3+c^3-12 a b c

Factorise by taking at the common factors: (i) ab(a^(2) + b^(2) -c^(2))-bc(c^(2)-a^(2) - b^(2)) +ca(a^(2) + b^(2)-c^(2)) (ii) 2x(a-b) +3y(5a-5b) + 4z(2b-2a)

Evaluate : (i) (a+6b)^(2) " " (ii) (3x-4y)^(2) " " (iii) (2a-b+c)^(2)

Prove that : |{:(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab):}|=(a-b)(b-c)(c-a)(ab+bc+ca)

If a+b+ c =9 and a^(2) + b^(2) + c^(2) = 29 , find ab + bc + ca .

NAGEEN PRAKASHAN ENGLISH-POLYNOMIALS-Exercise 2 E
  1. Evaluate without multiplying directly : (i) 33xx27 " " (ii) 103xx9...

    Text Solution

    |

  2. Expand : (i) (3a-5b)^(2) " " (ii) (a+(1)/(a))^(2) " " (iii) (2x-(...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate using formula : (i) (188)^(2) " " (ii) (9.4)^(2) " " (i...

    Text Solution

    |

  5. (i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac. (ii) ...

    Text Solution

    |

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

    Text Solution

    |

  7. Evaluate (2x-3y+5)^(3).

    Text Solution

    |

  8. If a+2b=5, then show that a^(3)+8b^(3)+30ab=125.

    Text Solution

    |

  9. If 2x-3y=10 and xy=16, find the value of 8x^(3)-27y^(3).

    Text Solution

    |

  10. Evaluate : (i) (98)^(3) " " (ii) (598)^(3) " " (iii) (1003)^(3)

    Text Solution

    |

  11. Factorise : 4a^(2)+9b^(2)+16c^(2)+12ab-24bc-16ca

    Text Solution

    |

  12. Verify : (i) x^3+y^3=(x+y)(x^2-x y+y^2) (ii) x^3-y^3=(x-y)...

    Text Solution

    |

  13. Factorise : (i) 9a^(3)-27b^(3) " " (ii) a^(3)-343 " " (iii) a^(...

    Text Solution

    |

  14. Find the product : (i) (x+3)(x^(2)-3x+9) " " (ii) (7+5b)(49-35b+2...

    Text Solution

    |

  15. Factorise : (i) a^(3)+27b^(3)+8c^(3)-18abc " " (ii) 2sqrt(2)a^(3)...

    Text Solution

    |

  16. Find the product : (i) (a+2b+4c)(a^(2)+4b^(2)+16c^(2)-2ab-8bc-4ca) ...

    Text Solution

    |

  17. Factorise : (i) (x-y)^(3)+(y-z)^(3)+(z-x)^(3) (ii) (x-2y)^(3)+(2y-...

    Text Solution

    |

  18. Without actually calculating the cube find the value of the following ...

    Text Solution

    |

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

    Text Solution

    |

  20. If x+y+z=0show that x^3+y^3+z^3=3x y z.

    Text Solution

    |