Question

the terrorist groups in italy and peru both wanted to
gain personal freedom.
separate from the country.
unite various ethnic groups.
overthrow the existing government.

Explanation:

Prominent terrorist groups in Italy (like the Red Brigades) and Peru (like the Shining Path) were militant leftist organizations whose core goal was to topple the established national governments to install their ideological systems. The other options do not align with their stated aims.

Answer:

overthrow the existing government.