Factor 100x^2-1

Problem

100*x2−1

Solution

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

2. Determine the square root of the first term, 100*x2 which is 10*x

3. Determine the square root of the second term, 1 which is 1

4. Substitute the values a=10*x and b=1 into the difference of squares formula.

Final Answer

100*x2−1=(10*x−1)*(10*x+1)

Want more problems? Check here!