Factor 64-x^2

Problem

64−x2

Solution

1. Identify the expression as a difference of two squares, which follows the general form a2−b2

2. Determine the values of a and b by taking the square root of each term.

3. Calculate a=√(,64)=8 and b=√(,x2)=x

4. Apply the formula for the difference of squares, which is a2−b2=(a−b)*(a+b)

5. Substitute the values of a and b into the formula to get (8−x)*(8+x)

Final Answer

64−x2=(8−x)*(8+x)

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