Factor 2x^2-50

Problem

2*x2−50

Solution

1. Factor out the greatest common factor, which is 2

2*(x2−25)

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

x2−25=x2−5

3. Apply the formula for the difference of squares where a=x and b=5

(x−5)*(x+5)

4. Combine the common factor with the binomial factors to reach the final factored form.

2*(x−5)*(x+5)

Final Answer

2*x2−50=2*(x−5)*(x+5)

Want more problems? Check here!