Factor x^2-100

Problem

x2−100

Solution

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

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

3. Calculate a=√(,x2)=x and b=√(,100)=10

4. Apply the formula for factoring a difference of squares: a2−b2=(a−b)*(a+b)

5. Substitute the values of a and b into the formula.

Final Answer

x2−100=(x−10)*(x+10)

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