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 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=2*x and b=5 into the formula.

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

5. Simplify the result by calculating (2*x)^2=4*x^2 and 5^2=25

Final Answer

(2*x−5)*(2*x+5)=4*x^2−25

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