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What is the value of (3x + 4)(3x - 4)?

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Question: What is the value of (3x + 4)(3x - 4)?

Options:

  1. 9x² - 16
  2. 9x² + 16
  3. 12x² - 16
  4. 12x² + 16

Correct Answer: 9x² - 16

Solution: 

(3x + 4)(3x - 4) = (3x)² - 4² = 9x² - 16.

What is the value of (3x + 4)(3x - 4)?

Practice Questions

Q1
What is the value of (3x + 4)(3x - 4)?
  1. 9x² - 16
  2. 9x² + 16
  3. 12x² - 16
  4. 12x² + 16

Questions & Step-by-Step Solutions

What is the value of (3x + 4)(3x - 4)?
  • Step 1: Identify the expression you need to simplify: (3x + 4)(3x - 4).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), which is a difference of squares.
  • Step 3: Apply the difference of squares formula: (a + b)(a - b) = a² - b².
  • Step 4: In our case, let a = 3x and b = 4.
  • Step 5: Calculate a²: (3x)² = 9x².
  • Step 6: Calculate b²: 4² = 16.
  • Step 7: Substitute these values into the difference of squares formula: 9x² - 16.
  • Step 8: Write the final answer: The value of (3x + 4)(3x - 4) is 9x² - 16.
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