Simplify (x^2-25)/2

Problem

(x2−25)/2

Solution

1. Identify the numerator as a difference of squares, which follows the pattern a2−b2=(a−b)*(a+b)

2. Rewrite the constant 25 as 5 to clearly see the square terms.

3. Factor the numerator using the difference of squares formula where a=x and b=5

4. Express the final simplified form as a product over the denominator.

Final Answer

(x2−25)/2=((x−5)*(x+5))/2

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