Factory_Service_5.cs

public static class ServiceCollectionExtensions
{
    public static void AddFactory<TService, TImplementation>(this IServiceCollection services) 
        where TService : class
        where TImplementation : class, TService
    {
        services.AddTransient<TService, TImplementation>();
        services.AddSingleton<Func<TService>>(x => () => x.GetService<TService>());
        services.AddSingleton<IFactory<TService>, Factory<TService>>();
    }
}