Factor a^2-4

Problem

a2−4

Solution

1. Identify the expression as a difference of two squares, which follows the general form x2−y2

2. Rewrite the constant term as a perfect square to clearly see the values of x and y

a2−2

3. Apply the formula for the difference of squares, which states x2−y2=(x−y)*(x+y)

(a−2)*(a+2)

Final Answer

a2−4=(a−2)*(a+2)

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