1. The problem statement, all variables and given/known data
Is it possible to create an injection from {a^2+b^2 l a,b[itex]\in[/itex]Q} to {{a+b l a,b[itex]\in[/itex]Q}
2. Relevant equations
I am not sure about this. The problem is that many combinations of a,b can yield the same number, so how do I tackle this obstacle?
3. The attempt at a solution
Is it possible to create an injection from {a^2+b^2 l a,b[itex]\in[/itex]Q} to {{a+b l a,b[itex]\in[/itex]Q}
2. Relevant equations
I am not sure about this. The problem is that many combinations of a,b can yield the same number, so how do I tackle this obstacle?
3. The attempt at a solution
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