MathDB

TOT 364 1993 Spring A J3 operation x*(*z) = (x* y)+ z

Source:

June 10, 2024

algebraOperation

Problem Statement

An operation denoted by

*

defines, for each pair of numbers

(x, y)

, a number

x*y

so that for all

x, y

and

z

the identities

x*x = 0 \,\,\,\,\, (1)

and

x*(*z) = (x* y)+ z \,\,\,\,\, (2)

hold (

+

denoting ordinary addition of numbers). Find

1993* 1932

.
(G Galperin)