Factor x^2-5

Problem

x2−5

Solution

1. Identify the expression as a difference of squares by recognizing that 5 can be written as the square of its square root, (√(,5))2

2. Apply the formula for the difference of squares, which states that a2−b2=(a−b)*(a+b)

3. Substitute a=x and b=√(,5) into the formula to obtain the factored form.

Final Answer

x2−5=(x−√(,5))*(x+√(,5))

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