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

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

Options:

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

Correct Answer: 4x² - 9

Solution: 

(2x + 3)(2x - 3) = 4x² - 9.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value 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: Use the difference of squares formula: (a + b)(a - b) = a² - b².
  • Step 4: In our case, a = 2x and b = 3.
  • Step 5: Calculate a²: (2x)² = 4x².
  • Step 6: Calculate b²: (3)² = 9.
  • Step 7: Substitute these values into the difference of squares formula: 4x² - 9.
  • Step 8: Write down the final result: (2x + 3)(2x - 3) = 4x² - 9.
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