Final answer:
Osama bin Laden had ties to the Taliban through their shared agenda against the Soviet Union. However, after the 9/11 attacks and the Taliban's refusal to hand over bin Laden, the United States invaded Afghanistan, leading to the ousting of the Taliban from power.
Step-by-step explanation:
Osama bin Laden had ties to the Taliban through a shared agenda against the Soviet Union. During the Soviet invasion of Afghanistan in the late 1970s and 1980s, bin Laden, a Saudi national, provided support to the Afghan resistance fighters known as the Mujahideen. This support included funding, weapons, and training camps.
After the Soviets were defeated, the Taliban emerged as a political and military force in Afghanistan. Bin Laden continued his alliance with the Taliban, as they shared similar religious and ideological beliefs. However, bin Laden's ties to the Taliban became a point of contention after the 9/11 attacks, when he and his terrorist network, al-Qaeda, were harbored in Afghanistan by the Taliban regime.
When the United States demanded that the Taliban hand over bin Laden, they refused, leading to the U.S. invasion of Afghanistan in 2001. The invasion resulted in the ousting of the Taliban from power and the dismantling of al-Qaeda training camps.