Factor 25x^2-1

Problem

25*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, 25*x2 which is 5*x

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

4. Apply the formula by substituting a=5*x and b=1 into the factored form.

Final Answer

25*x2−1=(5*x−1)*(5*x+1)

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