Home
Class 8
MATHS
Find the squares of the following number...

Find the squares of the following numbers using the identity `(a-b)^2=a^2-2a b+b^2` (I)491 (ii) 189 (iii) 575

Text Solution

AI Generated Solution

To find the squares of the given numbers using the identity \((a-b)^2 = a^2 - 2ab + b^2\), we will break down each number into a suitable form. ### (I) Finding the square of 491 1. **Choose \(a\) and \(b\)**: We can express 491 as \(500 - 9\). Here, \(a = 500\) and \(b = 9\). 2. **Apply the identity**: \[ ...
Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    RD SHARMA|Exercise All Questions|185 Videos
  • TIME AND WORK

    RD SHARMA|Exercise All Questions|46 Videos

Similar Questions

Explore conceptually related problems

Find the squares of the following numbers using the identity (a-b)^2=a^2-2a b+b^2: (I)395 (ii) 995 (iii) 495 (iv) 498 (v)99 (vi) 999 (vii) 599

Find the square of the following number using the identify (a+b)=a^(2)+2ab+b^(2)

Find the squares of the following numbers using the identity (a+b)^(2)=a^(2)2ab+b^(2):405 (ii) 510 (iii) 1001209(v)605

Find the squares of the following numbers using the identity (a+b)^(2)=a^(2)+2ab+b^(2)509( ii) 211( iii) 625

Find the product of the Jfollowing using the identity (a+b)^(2)=a^(2)+2ab+b^2 : (2x^y+3xy^2)^2

Find the squares of the following numbers: (I)425 (ii) 575 (iii) 405 (iv)205 (v) 95 (vi) 745 (vii)125 (viii) 995

.Find the following products using suitable identity. (i) "(2x-3)^(2)," (ii) "(3a-2b)^(2)]]

Factorise the using the identity a ^(2) -b ^(2) = (a +b) (a-b). 9x ^(2) -1

Important Identity -(a-b)(a+b)=a^(2)-b^(2)

RD SHARMA-SQUARES AND SQUARE ROOTS-All Questions
  1. Find the squares of the following numbers; (I)515               (ii) ...

    Text Solution

    |

  2. Find the squares of the following numbers using the identity (a+b)^2...

    Text Solution

    |

  3. Find the squares of the following numbers using the identity (a-b)^2...

    Text Solution

    |

  4. Find the squares of the following numbers using column method. Verif...

    Text Solution

    |

  5. Find the square root of the following number by prime factorization....

    Text Solution

    |

  6. Find the squares of the number127

    Text Solution

    |

  7. Find the squares of the following numbers: (I)425                (ii)...

    Text Solution

    |

  8. Find the squares of the following numbers using the identity (a+b)^2...

    Text Solution

    |

  9. Find the squares of the following numbers using the identity (a-b)^2...

    Text Solution

    |

  10. Find the squares of the following number by visual method: 52

    Text Solution

    |

  11. sqrt(4)=2. b e c a u s e\ 2^2=4. sqrt(9)=3,\ b e c a u s e\ 3^2=9. ...

    Text Solution

    |

  12. Find the square root of 36 by successive subtractions.

    Text Solution

    |

  13. Find the square root of 11025 by prime factorization.

    Text Solution

    |

  14. Find the square root of 7744 by prime factorization.

    Text Solution

    |

  15. Find the square root of 298116 by prime factorization.

    Text Solution

    |

  16. Find the smallest number by which 1100 must be multiplied so that t...

    Text Solution

    |

  17. Find the smallest number by which 9408 must be divided so that it be...

    Text Solution

    |

  18. 5929 students are sitting in an auditorium in such a manner that the...

    Text Solution

    |

  19. A general wishing to arrange his men, who were 335250 in number in t...

    Text Solution

    |

  20. The product of two numbers is 1575 and their quotient is 9/7dot Find...

    Text Solution

    |