Both a mirror and a white surface reflect most of the light.
But a white surface is rough if you zoom in, and the light rays that hit it reflects in different random directions,
while a mirror is very smooth and correctly reflects light based on the angle of incidence.
[Very helpful image!](https://imgur.com/a/gEqqWOw)
It’s about angle of reflection. “White” things scatter the light. Reflective things bounce light ray or photon back towards the source, the more reflective, the more of them / more accurately. That’s why very reflective things are also usually super smooth, and have relatively high density of the material.
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