Factor x^2-4

Problem

x2−4

Solution

To factor the expression x2−4 we recognize it as a difference of squares. The general form for a difference of squares is a2−b2=(a−b)*(a+b)

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

2. Apply the difference of squares formula.
   Substitute a=x and b=2 into (a−b)*(a+b)
   This gives us (x−2)*(x+2)

Final Answer

The factored form of the expression is:

(x−2)*(x+2)

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