Did Adam eat from the Tree of life?

The Bible vs the Quran

No, he was driven out of the Garden of Eden before he eating from the tree of life

Behold, the man is become as one of us, to know good and evil: and now, lest he put forth his hand, and take also of the tree of life, and eat, and live for ever: Therefore the LORD God sent him forth from the garden of Eden ... So he drove out the man; and he placed at the east of the garden of Eden Cherubims, and a flaming sword which turned every way, to keep the way of the tree of life. Genesis 3:22-24

Yes, he ate from the tree of life (or the tree of immortality and power).

But the devil whispered to him, saying: O Adam! Shall I show thee the tree of immortality and power that wasteth not away? Then they twain ate thereof, so that their shame became apparent unto them, and they began to hide by heaping on themselves some of the leaves of the Garden. Quran 20:120-1

In Genesis, Adam and Eve are driven out of the Garden of Eden before eating from the "Tree of Life" and thereby becoming immortal. But here they eat from "the tree of immortality and power" -- yet they don't become immortal or powerful, they become ashamed of their nakedness.