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

Practice Questions

Q1
What is the value of (x + y)(x - y)?
  1. x² + y²
  2. x² - y²
  3. 2xy
  4. xy

Questions & Step-by-Step Solutions

What is the value of (x + y)(x - y)?
  • Step 1: Identify the expression you need to simplify, which is (x + y)(x - y).
  • 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 (a + b)(a - b) = a² - b².
  • Step 4: In our case, let a = x and b = y.
  • Step 5: Apply the difference of squares formula: (x + y)(x - y) = x² - y².
  • Step 6: Write down the final result: x² - y².
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