Factor x^2+3

Problem

x2+3

Solution

1. Identify the expression as a sum of squares in the form a2+b2 where a=x and b=√(,3)

2. Apply the complex factorization formula a2+b2=(a+b*i)*(a−b*i) since the expression cannot be factored using real numbers.

3. Substitute the values a=x and b=√(,3) into the formula.

Final Answer

x2+3=(x+i√(,3))*(x−i√(,3))

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