(b)
Lanthanoids [Xe]$4f^{1 - 14}5d^{0 - 1}\ 6s^{2}$
Actinoides [Rn]$5f^{1 - 14}6d^{0 - 1}7s^{2}$
Lanthanoides and actinoides use core $d$ and $f$-orbitals also to show higher oxidation state. As actinoides have comparatively low energy difference between $f\$and $d$-orbitals, show more oxidation states.