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Which expression represents the factored form of x^2 - 9?

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Question: Which expression represents the factored form of x^2 - 9?

Options:

  1. (x - 3)(x + 3)
  2. (x - 1)(x + 1)
  3. (x - 2)(x + 2)
  4. (x - 4)(x + 4)

Correct Answer: (x - 3)(x + 3)

Solution: 

Step 1: Recognize it as a difference of squares: x^2 - 3^2. Step 2: Factor: (x - 3)(x + 3).

Which expression represents the factored form of x^2 - 9?

Practice Questions

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

Questions & Step-by-Step Solutions

Which expression represents the factored form of x^2 - 9?
  • Step 1: Recognize that x^2 - 9 is a difference of squares because it can be written as x^2 - 3^2.
  • Step 2: Use the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b). Here, a is x and b is 3.
  • Step 3: Apply the formula: Replace a with x and b with 3 to get (x - 3)(x + 3).
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