Squaring of Large numbers

 

If you want to square alarge number in just one minute, then you will face a great problem ini doing so. Here is the formula which will help you to find out a square of a great number. Here is the formula: -

 (a + b)²= a² + 2ab + b²

 

            OR

 

(a - b)²= a² – 2ab +b²

 

By these formulae we can find out any great number square.

 

Steps: -

 

(Q) Find the square of 998

 

(a - b)²= a² – 2ab +b²

 

(1000 - 2)= (1000)² - 2*(1000)*2 + 2² 

= 1000000 - 2000*2 + 4

= 1000000 - 40000 + 4

= 960000 + 4

= 960004

 

(Q) Find the square of 511

 

   (a + b)²= a² + 2ab + b²

 

(500 + 11)= (500)² + 2*(500)*11 + 11²

= 10000 + 1000*11 + 121

= 10000 + 11000 + 121

= 21000 + 121

= 21121