Simplify |x^2|+4

Problem

|x^2|+4

Solution

1. Analyze the absolute value term |x^2|

2. Identify the properties of the expression x^2 Since any real number squared is non-negative, x^2≥0 for all real x

3. Apply the definition of absolute value, which states that |a|=a if a≥0

4. Substitute x^2 for |x^2| in the original expression.

5. Combine the terms to reach the simplest form.

Final Answer

|x^2|+4=x^2+4

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