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What is the expansion of (x + 2)(x - 2)?

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

Options:

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

Correct Answer: x² - 4

Solution: 

(x + 2)(x - 2) = x² - 2² = x² - 4 by the difference of squares.

What is the expansion of (x + 2)(x - 2)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the expansion of (x + 2)(x - 2)?
  • Step 1: Identify the expression you want to expand, which is (x + 2)(x - 2).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), where a = x and b = 2.
  • 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 = 2.
  • Step 5: Calculate a²: x².
  • Step 6: Calculate b²: 2² = 4.
  • Step 7: Combine the results: x² - 4.
  • Step 8: Write the final expanded form: x² - 4.
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