Factor a^2-36

Problem

a2−36

Solution

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

2. Determine the square roots of each term.

3. Recognize that a2 is the square of a and 36 is the square of 6

4. Apply the formula for the difference of squares: x2−y2=(x−y)*(x+y)

5. Substitute x=a and y=6 into the formula.

Final Answer

a2−36=(a−6)*(a+6)

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