Factor 4x^2-9

Problem

4*x2−9

Solution

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

2. Rewrite each term as a perfect square to determine the values of a and b

4*x2=(2*x)2

9=3

3. Apply the formula for the difference of squares by substituting a=2*x and b=3 into the pattern.

(2*x)2−3=(2*x−3)*(2*x+3)

Final Answer

4*x2−9=(2*x−3)*(2*x+3)

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