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Omni-MATH / Let R denote the set of real numbers. Find all functions f:R→R such that f(x²)+f(xy)=f(x)f(y)+yf(x)+xf(x+y) for all x,y∈R. · Discussion

Discussing Let R denote the set of real numbers. Find all functions f:R→R such that f(x²)+f(xy)=f(x)f(y)+yf(x)+xf(x+y) for all x,y∈R. · Omni-MATH

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