Simplify (2x+5)(2x-5)

Problem

(2*x+5)*(2*x−5)

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=2*x and b=5 to fit the formula.

3. Square the first term: (2*x)2=4*x2

4. Square the second term: 5=25

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

Final Answer

(2*x+5)*(2*x−5)=4*x2−25

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