They mention that planes have a greater max takeoff weight than max landing weight, but don’t explain why. “Planes use some fuel flying” isn’t an answer
The forces exerted on the airframe while taking off are different from the forces while landing.
The landing gear for instance really only experience the weight of the plane passively while taking off. When landing however there are additional dynamic downward forces from the landing itself, so the weight of the plane must be lighter to accomodate that additional landing force.
It's for 2 main reasons. One is structural integrity, another is breaking. A heavier plane leads to a harder impact and possibility of it not stopping on the runway based on calculated distance needed during landing checklist.