The mother does feed the three chicks with various kinds of
kills.
But at one point, she takes one of them out and brings back its
body pieces to feed the other two.
From 4:54 min. to the end.
https://www.youtube.com/watch?v=0mMr4yQNGWkI can see that the few weeks of feeding mother birds
have to fetch to feed their youngs can be difficult. This
is also something mother birds are impatient about,
because they can fly and just want to be wild and free.
So, killing one to lessen the responsibility is a good
approach for them.
I've seen videos of cranes and herons do that to
their chicks, too--dropping one outside the nest
to kill off.
Cuckoos don't even feed their chicks; they just
lay eggs in other birds' nests and fly off
to enjoy life.
It is a tough world for the wild out there.