Simplify (3x-4)(3x+4)

Problem

(3*x−4)*(3*x+4)

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)=a^2−b^2

3. Substitute a=3*x and b=4 into the formula.

4. Square each term individually to find the final expression.

5. Simplify the terms to get (3*x)^2=9*x^2 and 4^2=16

Final Answer

(3*x−4)*(3*x+4)=9*x^2−16

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