Square of a number ending with 1

Square of a number ending with 1

Example: 31^{2}
https://www.hamaraguru.com/assets/files/2018-01-17/1516184511-620068-imgur-48.jpeg

Step 1: First step is to write 31 as 31+1. Obtain 30^{2} = 900.

Step 2: Add 30 to the given number 31. You will get 61.

Step 3: Add 61 to 900 to get the final answer 961

One more Example:
https://www.hamaraguru.com/assets/files/2018-01-17/1516184587-43223-imgur-49.jpeg

Let’s see how does the square of number which ends in 1 look like.
Let us consider a number which ends with 1. The number would look something like a1, where a can be any number.

https://www.hamaraguru.com/assets/files/2018-01-17/1516185360-591401-imgur-50.jpeg

Alternate Way:

 

The squares of any 2-digit number ending in 1 would be of the form a^{2} / 2a / 1.

Example 1: 121^{2}
https://www.hamaraguru.com/assets/files/2018-01-17/1516185439-208607-imgur-51.jpeg

Example 2: 71^{2}
https://www.hamaraguru.com/assets/files/2018-01-17/1516186006-846432-imgur-52.jpeg