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What is the factored form of the expression x^2 - 9?

Practice Questions

Q1
What is the factored form of the expression x^2 - 9?
  1. (x - 3)(x + 3)
  2. (x - 9)(x + 1)
  3. (x + 9)(x - 1)
  4. (x - 1)(x + 1)

Questions & Step-by-Step Solutions

What is the factored form of the expression x^2 - 9?
  • Step 1: Identify the expression you want to factor, which is x^2 - 9.
  • Step 2: Recognize that this expression is a difference of squares. A difference of squares has the form a^2 - b^2.
  • Step 3: In this case, a^2 is x^2 (where a = x) and b^2 is 9 (where b = 3).
  • Step 4: Use the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b).
  • Step 5: Substitute a and b into the formula: (x - 3)(x + 3).
  • Step 6: Write down the factored form of the expression: (x - 3)(x + 3).
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