Factor 7x^2-63

Problem

7*x2−63

Solution

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

2. Factor out the GCF, which is 7 from the expression.

7*(x2−9)

3. Recognize that the expression inside the parentheses, x2−9 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=3

7*(x−3)*(x+3)

Final Answer

7*x2−63=7*(x−3)*(x+3)

Want more problems? Check here!