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What is the value of (x + 3)(x - 3)? (2023)

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Question: What is the value of (x + 3)(x - 3)? (2023)

Options:

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

Correct Answer: x² - 9

Exam Year: 2023

Solution: 

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

What is the value of (x + 3)(x - 3)? (2023)

Practice Questions

Q1
What is the value of (x + 3)(x - 3)? (2023)
  1. x² + 9
  2. x² - 9
  3. 3x
  4. x² - 6

Questions & Step-by-Step Solutions

What is the value of (x + 3)(x - 3)? (2023)
  • Step 1: Identify the expression you need to simplify, which is (x + 3)(x - 3).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), where a = x and b = 3.
  • Step 3: Use the difference of squares formula, which states that (a + b)(a - b) = a² - b².
  • Step 4: Substitute a and b into the formula: a = x and b = 3.
  • Step 5: Calculate a², which is x², and b², which is 3² = 9.
  • Step 6: Apply the formula: (x + 3)(x - 3) = x² - 9.
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