Simplify (x^2-4)/(2x-4)

Problem

(x2−4)/(2*x−4)

Solution

1. Factor the numerator using the difference of squares formula, a2−b2=(a−b)*(a+b)

x2−4=(x−2)*(x+2)

2. Factor the denominator by identifying the greatest common factor.

2*x−4=2*(x−2)

3. Rewrite the expression with the factored forms of the numerator and denominator.

((x−2)*(x+2))/(2*(x−2))

4. Cancel the common factor (x−2) from both the numerator and the denominator, assuming x≠2

(x+2)/2

Final Answer

(x2−4)/(2*x−4)=(x+2)/2

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