We use the word argument to refer to a series of reasons given to support a claim. The claim being supported is the conclusion. The reasons given to accept the conclusion are called premises. Analyzing an argument means identifying its premises and conclusion.
We use the word argument to refer to a series of reasons given to support a claim or answer to a mathematical problem. Analyzing an argument means identifying its answers and mathematical processes.
Basically;
Argument: To explain and prove why your answer is right.
Analyze: Is the correct answer or processes to solve the problem.