Vedic Maths : yavadunam tavadunikrtya varganca yojayet
yavadunam tavadunikrtya varganca yojayet
what ever the deficiency subtract that deficit from the number and write along side the square of that deficit
यावदूनम् तावदूनीकृत्य वर्ग च योजयेत्
We already know
Here, let's take a special case of finding square. A = B , so a = b
A * B = A * A
= x ( x + a + a) + a*a = x ( x + 2a) + a ^ 2
= x [ (x + a) + a] + a ^2
But as we know x + a = A
So, x [ (x + a) + a] + a ^ 2 = x ( A + a ) + a ^ 2
Here, 'a' can be negative also
For example
x |
a |
n |
x * [ A + a ) |
a ^ 2 |
A ^ 2 |
|
9 |
10 |
-1 |
1 |
1 |
81 |
|
8 |
10 |
-2 |
1 |
10 * ( 8 - 2 )
= 60 |
4 |
64 |
11 |
10
|
+1 |
1 |
1 |
121 |
|
12 |
10 |
+2 |
1 |
10 * ( 12 + 2 )
= 140 |
4 |
144 |
13 |
10 |
+3 |
1 |
10
* ( 13 + 3 ) = 160 |
9 |
169 |
14 |
10 |
+4 |
1 |
10 * ( 14 + 4 )
= 180 |
16 |
196 |
15 |
10 |
+5 |
1 |
10
* ( 15 + 5 ) = 200 |
25 |
225 |
19 |
10 |
+9 |
1 |
81 |
361 |
|
91 |
100 |
-9 |
2 |
100 * ( 91 - 9 ) =
8200 |
81 |
8281 |
94 |
100 |
-6 |
2 |
100
* ( 94 – 6 ) = 8800 |
36 |
8836 |
97 |
100 |
-3 |
2 |
100 * ( 97 – 3 ) = 9400 |
9 |
9409 |
108 |
100 |
+8 |
2 |
100
* (108 + 8 ) = 11600 |
64 |
11664 |
989 |
1000 |
-11 |
3 |
1000 * ( 989 – 11) = 978000 |
121 |
978121 |
9989 |
10000 |
-11 |
4 |
10000
* ( 9989 – 11 ) = 99780000 |
121 |
99780121 |
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