SQUARES of numbers ending in 1

What do you mean by squaring a number?
Squaring means multiplying a number by itself.
example: squaring 3 means 3 multiplied by 3 (3x3) it will be written as 3² =9
Now lets move on to the funda..
Quick mental calculations can help in solving problems faster and practice of this can become a gift
We can find the squares using some technique this will help find the squares faster.

Squaring Numbers ending in 1

This is the short cut method to find out squares of numbers ending in 1 like 11,21,31,41,121,131 etc if we go for multiplying the numbers it will take longer time

1^st example 21²

step 1 :  subtact 1 from the number, so that the number ends in zero.
                       21-1=20
step 2 : find the square of the difference, its easy to square numbers ending with 0.
                       20² = 20x20 = 400
step 3 : add the number we now squared ie 20 and to the number to be squared ie 21
                       20+21=41
step 4 :add the result of step 2 to step 3 this will give you the answer of 21²
                       400 + 41 =441.
so 21² =441.

2^nd example 41²

step 1 : 41 - 1= 40

step 2 : 40² =40 x 40 = 1600

step 3 :40 + 41 = 81

step 4 : 1600 + 81 = 1681

so 41² =1681