GUNÌTA SAMUCCAYAH - SAMUCCAYA GUNÌTAH

In connection with factorization of quadratic expressions a sub-Sutra, viz. 'Gunita samuccayah-Samuccaya Gunitah' is useful.
It is intended for the purpose of verifying the correctness of obtained answers in multiplications, divisions and factorizations.

It means in this context: 'The product of the sum of the coefficients(sc) in the factors is equal to the sum of the coefficients(sc) in the product'

Symbolically we represent as sc of the product = product of the sc (in the factors)/p>


Example 1: (x + 3) (x + 2) = x2 + 5x + 6
Now ( x + 3 ) ( x + 2 ) = 4 x 3 = 12 : Thus verified.

Example 2: (x + 5) (x + 7) (x - 2) = x3 + 10x2 + 11x - 70
(1 + 5) (1 + 7) (1 - 2) = 1 + 10 + 11 - 70
i.e., 6 x 8 x -1 = 22 - 70
i.e., -48 = -48 Verified.

Verify whether the following factorization of the expressions are correct or not by the Vedic check:
i.e. Gunita. Samuccayah-Samuccaya Gunitah:

1. (2x + 3) (x - 2) = 2x2 - x - 6
2. 12x2 - 23xy + 10y2 = ( 3x - 2y ) ( 4x - 5y )
3. 12x2 + 13x - 4 = ( 3x - 4 ) ( 4x + 1 )
4. ( x + 1 ) ( x + 2 ) ( x + 3 ) = x3 + 6x2 + 11x + 6

2 Comments:

At 1:05 AM, Blogger Kaushik said...

test2

 
At 9:45 PM, Blogger Liberius said...

Great blog you have going on here (just discovered it today..so only seen a few posts so far)! One question...how did you get the exponents to show up? I've been writing some Vedic Math tutorials on my blog but I've been having to write exponents as x^2 which gets kind of messy...

Anyways, glad to see someone else interested in Vedic Math!

http://liberius1776.wordpress.com/

 

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