Stars die when they run out of fuel, a star's final stages depend on its mass, and a star's core contracts as it dies.
Stars die when they run out of fuel is a correct statement about the death of stars. As stars exhaust their nuclear energy, they collapse under gravity without internal pressure balance.
A star's final stages of life depend on its mass is also true. Different mass stars undergo various endings like becoming white dwarfs, neutron stars, or black holes.
When a star starts to die, its core expands is inaccurate. In reality, a dying star's core contracts while its outer layers may expand and eventually form a planetary nebula.
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