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What is the result of (a - b)(a + b)?

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Question: What is the result of (a - b)(a + b)?

Options:

  1. a² + b²
  2. a² - b²
  3. 2ab
  4. ab

Correct Answer: a² - b²

Solution: 

(a - b)(a + b) = a² - b², which is the difference of squares.

What is the result of (a - b)(a + b)?

Practice Questions

Q1
What is the result of (a - b)(a + b)?
  1. a² + b²
  2. a² - b²
  3. 2ab
  4. ab

Questions & Step-by-Step Solutions

What is the result of (a - b)(a + b)?
  • Step 1: Identify the expression (a - b)(a + b).
  • Step 2: Recognize that this expression is a special case called the difference of squares.
  • Step 3: Recall the formula for the difference of squares, which is (x - y)(x + y) = x² - y².
  • Step 4: In our case, let x = a and y = b.
  • Step 5: Apply the formula: (a - b)(a + b) = a² - b².
  • Step 6: Conclude that the result of (a - b)(a + b) is a² - b².
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