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Parentheses are usually placed inside brackets.
Brackets tends to be an English expression, Parentheses is used in the USA and elsewhere. Technically, Parentheses are rounded brackets but this really doesn't matter in mathematics as long as different shaped brackets/parentheses are used to separate the various elements of a mathematical expression.
None. Brackets are used as an alternative to parentheses. Using different symbols makes it easier to locate matching parentheses or brackets.
Square brackets are used inside regular parentheses, in a sentence.
Parentheses or brackets.