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What is the result of (2x + 3)(2x - 3)?

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Question: What is the result of (2x + 3)(2x - 3)?

Options:

  1. 4x² - 9
  2. 4x² + 9
  3. 4x² - 6
  4. 6x² - 9

Correct Answer: 4x² - 9

Solution: 

(2x + 3)(2x - 3) = 4x² - 9 by the difference of squares.

What is the result of (2x + 3)(2x - 3)?

Practice Questions

Q1
What is the result of (2x + 3)(2x - 3)?
  1. 4x² - 9
  2. 4x² + 9
  3. 4x² - 6
  4. 6x² - 9

Questions & Step-by-Step Solutions

What is the result of (2x + 3)(2x - 3)?
  • Step 1: Identify the expression you need to simplify: (2x + 3)(2x - 3).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), which is a difference of squares.
  • Step 3: In this case, a = 2x and b = 3.
  • Step 4: Apply the difference of squares formula: (a + b)(a - b) = a² - b².
  • Step 5: Calculate a²: (2x)² = 4x².
  • Step 6: Calculate b²: (3)² = 9.
  • Step 7: Substitute these values into the formula: 4x² - 9.
  • Step 8: Write the final result: (2x + 3)(2x - 3) = 4x² - 9.
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