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Which identity represents the difference of squares?

Practice Questions

Q1
Which identity represents the difference of squares?
  1. (a + b)² = a² + 2ab + b²
  2. (a - b)² = a² - 2ab + b²
  3. a² - b² = (a + b)(a - b)
  4. a² + b² = (a + b)² - 2ab

Questions & Step-by-Step Solutions

Which identity represents the difference of squares?
  • Step 1: Understand what 'difference of squares' means. It refers to the subtraction of one square number from another.
  • Step 2: Identify the two square numbers. We can call them 'a squared' (a²) and 'b squared' (b²).
  • Step 3: Write the expression for the difference of squares. This is a² - b².
  • Step 4: Learn the formula that represents the difference of squares. It is a² - b² = (a + b)(a - b).
  • Step 5: Recognize that (a + b) and (a - b) are the factors of the difference of squares.
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