Luke gives a list of Jesus' ancestors too. Why is it different?

The two lists are set side by side here, each in its own words. Matthew begins with Abraham and comes down to Joseph: "Jacob became the father of Joseph" (1:16). Luke begins with Jesus and goes back: "being the son (as was supposed) of Joseph, the son of Heli" (Luke 3:23), all the way to "the son of Adam, the son of God" (Luke 3:38). From Abraham to David the two lists give the same fathers. The WEB spells one of them two ways, Ram in Matthew (1:3-4) and "the son of Aram" in Luke (Luke 3:33); the Greek has the same name in both verses. After David they part. Matthew goes on through "Solomon" (1:6); Luke has "the son of Nathan, the son of David" (Luke 3:31). Both name a Shealtiel and a Zerubbabel: Matthew, "Shealtiel became the father of Zerubbabel" (1:12); Luke, "the son of Zerubbabel, the son of Shealtiel, the son of Neri" (Luke 3:27). Neither Gospel says why the lists differ, and these notes don't explain the difference or fit the two together. 1 Chronicles 3's honest question on Zerubbabel's father sets Luke 3:27 and 3:31 beside its own verses too.