Identify the importance of art appreciation.

Mathematics
Identify the importance of art appreciation.

ScanSolve AI Answer

Answer

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

Step 1: Identify the given expression as a difference of squares.
The expression is 4x2−254x^2 - 25.

Step 2: Write in the form a2−b2a^2 - b^2.
4x2−25=(2x)2−524x^2 - 25 = (2x)^2 - 5^2, where a=2xa = 2x and b=5b = 5.

Step 3: Apply the difference of squares formula a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b).
(2x)2−52=(2x−5)(2x+5)(2x)^2 - 5^2 = (2x - 5)(2x + 5).

(2x−5)(2x+5)\boxed{(2x-5)(2x+5)}

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Quick Answer
  1. The expression is 4x^2 - 25.
  2. 4x^2 - 25 = (2x)^2 - 5^2, where a = 2x and b = 5.
  3. (2x)^2 - 5^2 = (2x - 5)(2x + 5).
Identify the importance of art appreciation.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Identify the given expression as a difference of squares. The expression is 4x^2 - 25. Step 2: Write in the form a^2 - b^2. 4x^2 - 25 = (2x)^2 - 5^2, where a = 2x and b = 5. Step 3: Apply the difference of squares formula a^2 - b^2 = (a - b)(a + b). (2x)^2 - 5^2 = (2x - 5)(2x + 5). (2x-5)(2x+5)