Home
Class 9
MATHS
Evaluate each of the following using ide...

Evaluate each of the following using identities: (i)`991 xx 1009` (ii) `117 xx 83`

Text Solution

Verified by Experts

(i)`991xx1009=(1000-9)(1000+9)`
`(1000)^2-9^2`
`=1000000-81``=999919`
(ii) `117xx83=(100+17)(100-17)`
`100^2-17^2`
`=10000-289`
`=9711`
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

Similar Questions

Explore conceptually related problems

Evaluate each of the following using identities: (399)^(2) (ii) (0.98)^(2)

Evaluate each of the following by using identities: 95x96 (ii) 104x96 (iii) 105x106

Evaluate each of the following using identities: (2x-(1)/(x))^(2) (ii) (2x+y)

Evaluate each of the following using suitable identities: ( i ) (104)^(3) (ii)

Evaluate each of the following by using Identities - (i) 103 x 97 (ii) 103 x 103 (iii) 97 x 97 (iv) 105 + 106

Evaluate each of the following by using identities: (0.99)^(2) (ii) 185xx185-115xx115

Evaluate each of the following by using identities: 103x97 (ii) 103x103 (iii) (97)^(2)

Evaluate each of the following using identities: (a^(2)b-b^(2)a)^(2) (ii) (a-0.1)(a+0.1)

Evaluate the following using identities: (i) (105)^(2) (ii) (47)^(2) (iii) (8.3 xx 7.7)

Evaluate the following using a suitable identity: 198times202

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Evaluate each of the following using identities: (1. 5 x^2-0. 3 y^2) ...

    Text Solution

    |

  2. Evaluate each of the following using identities: (i)(399)^2(ii) (0. 98...

    Text Solution

    |

  3. Evaluate each of the following using identities: (i)991 xx 1009 (ii) 1...

    Text Solution

    |

  4. Simplify each of the following: 175 xx 175+2 xx 175 xx 25+25 xx 25

    Text Solution

    |

  5. Simplify each of the following: 322 × 322−2 × 322 × 22+22 × 22

    Text Solution

    |

  6. Simplify each of the following: 0. 76 xx 0. 76+2xx 0. 76 xx 0. 24+0. 2...

    Text Solution

    |

  7. Simplify each of the following: (7. 83 xx 7. 83-1. 17 xx 1. 17)/(6. 66...

    Text Solution

    |

  8. If x+1/x=11 , find the value of x^2+1/(x^2)

    Text Solution

    |

  9. If x-1/x= -1, find the value of x^2+1/(x^2)

    Text Solution

    |

  10. If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)

    Text Solution

    |

  11. If x^2+1/(x^2)=66 , find the value of x-1/x

    Text Solution

    |

  12. If x^2+1/(x^2)=79 , find the value of x+1/x

    Text Solution

    |

  13. If 9x^2+25 y^2=181\ \ a n d\ x y\ =\ -6, find the value of 3x+5y

    Text Solution

    |

  14. If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

    Text Solution

    |

  15. If 3x-7y=10 and x y=-1, find the value of 9x^2+49 y^2

    Text Solution

    |

  16. Simplify each of the products: (1/2a-3b)(1/2a+3b)(1/4a^2+9b^2)

    Text Solution

    |

  17. Simplify each of the products: (m+n/7)^3 (m-n/7)

    Text Solution

    |

  18. Simplify each of the products: (x/2-2/5)(2/5-x/2)-x^2+2x

    Text Solution

    |

  19. Simplify each of the products: (x^2+x-2)(x^2-x+2)

    Text Solution

    |

  20. Simplify each of the products: (x^3-3x^2-x)(x^2-3x+1)

    Text Solution

    |