some plastic cups are hard to shift.
The left side, non drive side, has normal thread, first to be removed.
The right hand side, drive side, is also called the fixed side because the cup is permanently connected to the right hand ballbearing, has left hand thread (reverse thread) and to be undone last.
You may need this tool to hold the removal tool securely to the bottom bracket's axle.
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You can use a long M8 bolt or a crank bolt to do the same.
I have a 2ft long tube to extend the spanner and sometimes have to push the tube down with my foot.