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An algorithm is the series of steps to solve problem, so you would be looking for the series of steps to solve a math problem.
Scientific Method.
the contents of parenthesesexponential termsmultiplication and divisionaddition and subtraction
When you analyze a problem you look it over which is what analyzing means. You look over the problem and then you solve it. When you solve a problem you solve it and you use certain steps and solve it but of course everyone has there ways to solve a problem but some people have ways to solve it by just analysing it. That is the difference.
It is a Scientific Method.