Answer:
Britain strengthened its control over the American colonies after the French and Indian War to recover from the economic cost of fighting a war with France.
Explanation:
The French and Indian War took place from 1756 to 1763, facing Great Britain and its American colonies against France and its native allies, in what is now New England and Canada. The result of this war, which was framed in a global conflict called Seven Years' War, was a British victory, for which France abandoned its colonial pretensions in North America.
With this result, the French threat to the Thirteen Colonies had its end. Interpreting this situation, the British government, which had to face the costs of that war, decided that it was the settlers who had to pay the expenses incurred in the contest. Therefore, it began to exercise a stronger dominion over these territories, and to impose different taxes and contributions destined to tax the colonies through British Parliament, without colonial representation.