Factor 5x^2-125

Problem

5*x2−125

Solution

1. Factor out the greatest common factor by identifying that both terms are divisible by 5

5*(x2−25)

2. Identify the difference of squares within the parentheses, noting that x2 and 25 are both perfect squares.

x2−5

3. Apply the difference of squares formula, which states that a2−b2=(a−b)*(a+b)

(x−5)*(x+5)

4. Combine the factors to write the final factored form of the expression.

5*(x−5)*(x+5)

Final Answer

5*x2−125=5*(x−5)*(x+5)

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