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 difference of squares formula (a+b)*(a−b)=a2−b2

2. Assign the values a=3*x and b=4 to fit the formula.

3. Square the first term: (3*x)2=9*x2

4. Square the second term: 4=16

5. Subtract the squared terms to find the final simplified expression.

Final Answer

(3*x+4)*(3*x−4)=9*x2−16

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