Vedic Mathematics VS Traditional Methods

Vedic Mathematics makes mathematics more easy and fun to learn compared to the traditional methods we learn and use in our life. The traditional methods are more complex and difficult to use and apply and thus most of us starts hating Maths. With this methods and tricks, You can solve difficult maths calculations, mentally and instantantly figure out the right answer to the sum, which you were used to calculate with paper or a calculator. You will find that soon you'll start using this methods in your general life and make its Optimum use. I have tried to make all the illustrations easy to understand with help of examples and some self-exercise too..
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Squaring of a number ending with 1 (one)

This technique works well for squaring number ending with 1. If you multiply the numbers the traditional way you will see why this works.
For example:
     312 =
Firstly, subtract 1 from the number. The number now ends in zero and will be quite easy to square now.
     302 = 900 (3 x 3 x 10 x 10)
This is our sub-total.

Secondly, add together 30 and 31 -- the number we squared plus the number we want to square.
     30 + 31 = 61
Add this to our sub-total, 900, to get 961 (900 + 61) , which becomes the answer.
Note: For the second step you can simply double the number we squared, 30 x 2 and then add 1.

Another example is:

    1212       =
    121 - 1 = 120
    1202       14400 (12 x 12 x 10 x 10)
    120 + 121 = 241
    14400 + 241 = 14641  [Answer]

Self Exercises :-
a) 212 =
b) 412 =
c) 812 =
d) 1412 =


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