Factor 8x^2-18

Problem

8*x2−18

Solution

1. Identify the greatest common factor (GCF) of the terms 8*x2 and 18 which is 2

2. Factor out the GCF from the expression.

2*(4*x2−9)

3. Recognize that the expression inside the parentheses, 4*x2−9 is a difference of squares because 4*x2=(2*x)2 and 9=3

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) where a=2*x and b=3

2*(2*x−3)*(2*x+3)

Final Answer

8*x2−18=2*(2*x−3)*(2*x+3)

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