Luke uniquely indicated that Jesus said the citizens of this country hated or detested this nobleman (οἱ δὲ πολῖται αὐτοῦ ἐμίσουν αὐτόν), without any indication of how they formed this opinion. They sent a delegation after him (καὶ ἀπέστειλαν πρεσβείαν ὀπίσω αὐτοῦ) to go to that distant country to tell the authorities there that they did not want this man to rule over them (λέγοντες Οὐ θέλομεν τοῦτον βασιλεῦσαι ἐφ’ ἡμᾶς). Once again, Luke used a word that only appears here among all the Greek biblical writings, πρεσβείαν that means seniority, embassy, a delegation, or eldership. There was nothing like this in Matthew. Some of the people living there did not want to have this nobleman as their ruler, so they may have sent a delegation to the Roman Emperor with this message. Have you ever signed a petition or went to a local government meeting to complain about something?
Luke indicated that Jesus continued with his unique story about the king planning a war. Jesus said that if this king realized that he could not defeat the other king (εἰ δὲ μήγε), then, while this other king was still far away (ἔτι αὐτοῦ πόρρω ὄντος), he would send a delegation (πρεσβείαν ἀποστείλας), asking for peace terms (ἐρωτᾷ τὰ πρὸς εἰρήνην). Make peace instead of war, if you are outmanned and have no realistic hope of success. Would you rather fight or make peace?