Final answer:
Louis XIV invaded the Dutch Republic in 1672 during the Franco-Dutch War.
Step-by-step explanation:
In 1672, Louis XIV of France invaded the Dutch Republic during the Franco-Dutch War. This invasion was part of Louis XIV's expansionist policies and his desire to establish dominance in Europe. The Dutch Republic, led by the stadtholder William III of Orange, formed alliances with other European powers to defend against the French invasion.