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Which of the following is the correct expansion of (x - 3)²?

Practice Questions

Q1
Which of the following is the correct expansion of (x - 3)²?
  1. x² - 6x + 9
  2. x² + 6x + 9
  3. x² - 9
  4. x² - 3

Questions & Step-by-Step Solutions

Which of the following is the correct expansion of (x - 3)²?
  • Step 1: Start with the expression (x - 3)².
  • Step 2: Recognize that (a - b)² can be expanded using the formula a² - 2ab + b².
  • Step 3: In our case, a is x and b is 3.
  • Step 4: Apply the formula: (x - 3)² = x² - 2(3)(x) + 3².
  • Step 5: Calculate each part: x² stays as x², -2(3)x becomes -6x, and 3² equals 9.
  • Step 6: Combine all parts together: x² - 6x + 9.
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