Answer:
Both options are partially correct:
1. They increased British-controlled land in Canada: Gaining new territory had the effect of expanding British-controlled land in Canada. Through various treaties and military victories, Britain acquired significant territories in North America, including areas that would later become the provinces of Ontario and Quebec. This expansion strengthened British influence and control in the region.
2. They pushed the French out of North America: Gaining new territory also resulted in the displacement of the French from North America. The British engaged in a series of conflicts with the French, known as the French and Indian War (1754-1763) in North America, as part of the larger Seven Years' War. The British victory in the war led to the Treaty of Paris in 1763, in which France ceded its North American territories to Britain. This pushed the French out of North America and significantly reduced their colonial presence on the continent.
However, the statement that the British "became involved in an expensive war" does not specifically refer to the direct consequences of gaining new territory. While the acquisition of new territories did involve military engagements and associated costs, the phrase "became involved in an expensive war" is a broader statement that could encompass various wars and conflicts in which the British were involved during their colonial expansion.