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Which of the following is the correct identity for (a - b)(a + b)? (2019)

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Question: Which of the following is the correct identity for (a - b)(a + b)? (2019)

Options:

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

Correct Answer: a² - b²

Exam Year: 2019

Solution: 

(a - b)(a + b) = a² - b² by the difference of squares formula.

Which of the following is the correct identity for (a - b)(a + b)? (2019)

Practice Questions

Q1
Which of the following is the correct identity for (a - b)(a + b)? (2019)
  1. a² + b²
  2. a² - b²
  3. ab
  4. a - b

Questions & Step-by-Step Solutions

Which of the following is the correct identity for (a - b)(a + b)? (2019)
  • Step 1: Identify the expression you need to simplify, which is (a - b)(a + b).
  • Step 2: Recognize that this expression is a special case known as the difference of squares.
  • Step 3: Recall the formula for the difference of squares, which states that (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 correct identity for (a - b)(a + b) is a² - b².
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