Simplify (2x-3)(2x+3)

Problem

(2*x−3)*(2*x+3)

Solution

1. Identify the pattern as a product of a sum and a difference, which follows the form (a−b)*(a+b)

2. Apply the formula for the difference of squares, which states that (a−b)*(a+b)=a2−b2

3. Substitute a=2*x and b=3 into the formula.

4. Square the individual terms to find the result.

5. Simplify the expression by calculating (2*x)2=4*x2 and 3=9

Final Answer

(2*x−3)*(2*x+3)=4*x2−9

Want more problems? Check here!