Factor 3x^2-75

Problem

3*x2−75

Solution

1. Identify the greatest common factor (GCF) for both terms in the expression.

2. Factor out the GCF, which is 3 from the expression.

3*(x2−25)

3. Recognize that the expression inside the parentheses, x2−25 is a difference of squares.

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=x and b=5

(x−5)*(x+5)

5. Combine the GCF with the factored binomials to write the final factored form.

Final Answer

3*x2−75=3*(x−5)*(x+5)

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