Problem #PRU-107987

Problems Calculus Functions of several variables Algebra and arithmetic Polynomials Algebraic identities for polynomials Identical transformations

13–15 4.0

Problem

To each pair of numbers $x$ and $y$ some number $x * y$ is placed in correspondence. Find $1993 * 1935$ if it is known that for any three numbers $x, y, z$ , the following identities hold: $x * x = 0$ and $x * (y * z) = (x * y) + z$ .

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