I'm not sure what a "method" represents, unless you mean a strategy of finding a problem. A product is the answer to a multiplication problem.
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In math and algebra, a product is the result of multiplication. The product of a x b is ab.
The roster method represents a set of something. In algebra, the roster method is used to describe a simpler set that is difficult to describe.
The foil method in algebra is used to "multiply linear binomials."The FOIL method is used in elementary algebra as a guide for solving algebraic problems.
His method to figure out the difficult algebra equation was sucessful.
The rule method specifies a set of by describing its elements and enclosing them in braces.