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What is the value of (x + 1)(x - 1)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of (x + 1)(x - 1)?
  • Step 1: Identify the expression you need to simplify, which is (x + 1)(x - 1).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), where a = x and b = 1.
  • 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 = 1.
  • Step 5: Calculate a², which is x², and b², which is 1² = 1.
  • Step 6: Apply the formula: (x + 1)(x - 1) = x² - 1.
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