Gunakasamuccayah

 "Gunakasamuccayah" is a Vedic mathematics term that translates to "The sum of the product." This term refers to a mathematical concept in which you add the products of numbers that have a particular relationship.


For example, suppose you have a multiplication problem like 

23

×

27

23×27. Using "Gunakasamuccayah," you would add the products of the numbers with a difference of 2:

(23−2)×(27+2)=21×29=609.


This technique is based on the observation that when the numbers are close and have a small difference, the sum of their products and the product of their sum can be used interchangeably. This approach can simplify mental calculations for multiplication.

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