Factor x^2+4

Problem

x2+4

Solution

1. Identify the expression as a sum of squares, which takes the form a2+b2

2. Apply the formula for factoring a sum of squares using imaginary numbers, which is a2+b2=(a+b*i)*(a−b*i)

3. Substitute a=x and b=2 into the formula since x2+4=x2+2

4. Write the final factored form using the imaginary unit i

Final Answer

x2+4=(x+2*i)*(x−2*i)

Want more problems? Check here!