Factor x^2-4

Problem

$x^2-4$

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Solution

To factor the expression $x^2-4$ we recognize it as a difference of squares. The general form for a difference of squares is $a^2-b^2=(a-b)(a+b)$

1. Identify $a^2$ and $b^2$ in the given expression.
   Here, $a^2=x^2$ so $a=x$
   And $b^2=4$ so $b=\sqrt{4}=2$

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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