Factor x^2-4

Problem

x2−4

Solution

The given expression is x2−4
This is a binomial that fits the form of a difference of squares, a2−b2

1. Identify a and b in the expression.
   Here, a2=x2 so a=x
   And b2=4 so b=2

2. Apply the difference of squares formula, which states that a2−b2=(a−b)*(a+b)
   Substitute a=x and b=2 into the formula:

   x2−4=(x−2)*(x+2)

Final Answer

The factored form of the expression is:

(x−2)*(x+2)