Generally, the implication of the word “scattered” is that the object under discussion is weakened and no longer whole. On the contrary, the implication of the word “dispersed” is that the object retains its original strength, and has spread. Rav Dovid Feinstein writes that, by using the word “scattered,” Haman is implying to the king that the Jews should have assimilated into Persian culture by now, but they stubbornly refuse by making themselves “dispersed,” retaining their own culture.
Rabbi Naftali of Rofshutz writes that Haman also describes the Jews in this way to address Achashverosh’s concern that no other nation has been able to destroy the Jews – how could he dare try? Haman’s response to this would be to not worry about the Jews’ previous longevity. True, they used to be united as an “am echad,” but now they are scattered and therefore disjointed. Only Jewish unity can save the nation from exile.
The Malbim says that Haman is attempting to emphasize that these Jews – these vermin of evil influence, as was echoed in history – are everywhere. We don’t know where they are; they can be hiding everywhere. Even today, the average anti-Semite is under the impression that there are billions of Jews everywhere, and they own the banks, Hollywood, and the government, whereas the truth is that the Jews number merely 0.4% of the world’s population.
According to the Alshich, Haman is emphasizing that, as a minority, the Jews are virtually loners, and no other nation would come to their aid in their time of need.
Mystically, as mentioned previously, one of the purposes of life in this world is to gain sparks of holiness. Just as sparks are scattered, the Jews have been spread in exile to gather together these sparks. Therefore, the Sfas Emes writes, although the Jewish people are spread out to find these sparks as individuals, we mustn’t lose sight of the need to retain communal unity. Other Jews may need our help to find their intended sparks.
Rav Moshe Dovid Valle notes that the acronym of “mefuraz umeforad” (“scattered and dispersed”) spell out the word “mum” (“defect”). By saying this, Haman is attempting to prove to Achashverosh that the Jews are lacking, and can be defeated.
Emphasizing the positive in this statement, the Sfas Emes points out that although the Jews are spread out, weakened, and incomplete, they nevertheless do not intermarry, and attempt to identify with their Jewish roots.