Would is the most basic auxiliary verb in the English language. It can be used to request, give an order or instruction, and even to offer something to someone. It is also used in reports and invitations. The second form of would is to invite. Usually, it is used to make a request. This is a useful way to make a request in an indirect speech. Here are some of its common uses:
Could is an auxiliary verb that shows ability to do an action. It can also be a container, which is usually a cylindrical or oddly shaped object. The verb could be used to suggest that someone can do something, but the subjunctive mood makes it less common in everyday English. Generally, it is used as a past tense verb. For example, could mean “I would like to fire you,” “I want to fire you,” or “If I were you, I would do this.”
Could is also used in reporting structures. If a woman could speak Arabic, she would be reported as saying, “She can speak Arabic.” In addition, could can be used after verbs and modals, like “may” or ‘will’. In fact, could and would are both commonly used with sense verbs to refer to the past, present, and future, respectively. This makes it easier to understand when a person could do something.