Factor a^2-25

Problem

a^2−25

Solution

1. Identify the expression as a difference of two squares, which follows the pattern x^2−y^2

2. Determine the square roots of each term, where x^2=a^2 gives x=a and y^2=25 gives y=5

3. Apply the formula for the difference of squares: x^2−y^2=(x−y)*(x+y)

4. Substitute the values a and 5 into the formula to obtain the factored form.

Final Answer

a^2−25=(a−5)*(a+5)

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