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

Evaluate each of the following by using identities: (i)`103 xx 97`

Text Solution

Verified by Experts

`103 xx 97 =(100+3)(100-3)`
Using,` a^2-b^2 = (a + b)(a - b)
= (100)^2-(3)^2
= 10000-9= 9991`
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 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: 95x96 (ii) 104x96 (iii) 105x106

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

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

Evaluate each of the following by using identities: 0.54x0.54-0.46x0.46 (ii) 103x107

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

Evaluate each of the following using identities: 991x1009( ii) 117x83

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

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

Find the value of each of the following by using suitable properties : 1063xx127-127xx1063

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Find the products: (x-1/x)\ (x+1/x)(x^2+1/(x^2))\ (x^4+1/(x^4))

    Text Solution

    |

  2. Find the products: (i) (2x+y)(2x-y)(4x^2+y^2)

    Text Solution

    |

  3. Evaluate each of the following by using identities: (i)103 xx 97

    Text Solution

    |

  4. Evaluate each of the following by using identities: (i)(0. 99)^2 (...

    Text Solution

    |

  5. Evaluate each of the following by using identities: (i)0. 54 xx 0. 5...

    Text Solution

    |

  6. Evaluate each of the following by using identities: (i)95 xx 96 (...

    Text Solution

    |

  7. If x+(1)/(x)=6, find : x^2+ (1)/(x^2)

    Text Solution

    |

  8. If x+1/x=6, find : x^4+1/(x^4)

    Text Solution

    |

  9. If x^2+1/(x^2)=27 , find the value of each of the following: x+1/x

    Text Solution

    |

  10. If x^2+1/(x^2)=27 , find the value of each of the following: x-1/x

    Text Solution

    |

  11. If x+y=12 and x y=32 , find the value of x^2+y^2

    Text Solution

    |

  12. If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

    Text Solution

    |

  13. If 4x^2+y^2=40\ and x y=6 , find the value of 2x+y

    Text Solution

    |

  14. Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

    Text Solution

    |

  15. If : a^2+b^2+c^2-a b-b c-c a=0 , prove that a=b=c

    Text Solution

    |

  16. Evaluate each of the following using identities: (i)(2x-1/x)^2 (ii...

    Text Solution

    |

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

    Text Solution

    |

  18. Evaluate each of the following using identities: (1. 5 x^2-0. 3 y^2) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |