vedicmathematics

One knows the Binomial Coefficents of Newton.
Newton made contributions to many fields like Pysics and Mathematics.

nc0,nc1,nc2,nc3,....ncn

(x+y)power n=
nco (x)pown + nc1 (x)pow(n-1) (y)pow(n)
+nc2 (x)pow(n-2) (y)pow 2 + nc3 (x)pow(n-3) (y)pow 3
+......+ncn (y)pow n

can we find 23cube using this as (20+3) cube?
Yes!But its far too long.

alternative?

23cube =?

Newtons expansion gives--
ab cube = acube+3asqr b +3 a bsqr+b cube

Indian Rishi’s Vedic method:
But that doesn’t give us a gp! we tweak it to give a gp with common ratio b/a

ab cube = acube + asqr b + a b sqr + b cube
+ 2 asqr b + 2 a bsqr
23 cube
answer: [8] [8*3/2] [12*3/2] [18*3/2]
            [ 2*12] [2*18]
------------------------------------------------

          8 12 18 27
            24 36
------------------------------------------------
           12167
------------------------------------------------


---------------------------------------------------------

A simple illustration of a minute method in Vedic Maths

65*65 =(6*7) 25 ---4225
1055*1055=(105*106)25 --- 1203025

99*99=9801
99-1 Base=100
99-1
-------
98+01
------
54*55= 2770
54+4 Base=50 --100/2
55+5
---------
59+20
59/2+20
29and ½ +20
2970

101*90=
101+1 Base 100
90 -10
---------
91-10
9100-10
9090


One has to read Vedic Maths books,the original treatise being Vedic Mathematics by Bharathi Krsna Thirthaji Maharaj (Motilal Banarsidass Publishers Banaras
url: http://www.mlbd.com)
price:Paper Back : 125 INR(Indian Rupees)
16 Sutras are laid down (obtained from Atharvana Veda)

If you dont know why we represent multiplication by an x,the reason is Vertically and Crosswise Method of multiplying numbers.
Do you like going in Round Circles around the tree,thast what non vedic math multiplication is:

25x46= ?
(It pained me in childhood why multiplication is x)

standard method:


vedic methods are not short cuts given the fact that they highliht base10 system and decimal supremacy!We just got our methods longer for lack of Vedic Insight.

25x46 =
vertically and crosswise
-----------------------------------------------------------
  25                  0    0     0     0 
x 46                  0      0  0      0
------                0       0        0 
                      0     0   0      0
                      0    0     0     0 
-----------------------------------------------------------
5*6=30
2*6+4*5=32
2*4=8

answer--1150

we just carry the extra digits left ward as in normal
addition.
please observe that they were 30+320+800
there is material for everybody (theorems from KG to PG kindergarten to Post Graduates).




Words like Dwandwa(Duplex) used to straight square a number
will feel like Honey to ears!

Vedic Math formulae were deciphered from code(not crypto code but representation of numbers using alphabets) and were saved from extinction by swamiji(plight that 16books by swamiji are lost forever!we are India!).
eg:
46sqr= ?
6sqr=36
2*4*6=48
2sqr=4

answer: 916
This is supposed to be done mentally.



The crowning jewel of Vedic Maths is Straight Division Method(its hard for my capacity),where you just divide the dividend by divisor straight





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