My Learning Cart
?
Categories
Account

Factor the expression x² - 9.

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: Factor the expression x² - 9.

Options:

  1. (x - 3)(x + 3)
  2. (x - 9)(x + 1)
  3. (x - 3)(x - 3)
  4. (x + 3)(x + 3)

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

Solution: 

x² - 9 = (x - 3)(x + 3) using the difference of squares.

Factor the expression x² - 9.

Practice Questions

Q1
Factor the expression x² - 9.
  1. (x - 3)(x + 3)
  2. (x - 9)(x + 1)
  3. (x - 3)(x - 3)
  4. (x + 3)(x + 3)

Questions & Step-by-Step Solutions

Factor the expression x² - 9.
  • Step 1: Identify the expression you want to factor, which is x² - 9.
  • Step 2: Recognize that x² - 9 is a difference of squares because it can be written as x² - (3)².
  • Step 3: Use the difference of squares formula, which states that a² - b² = (a - b)(a + b).
  • Step 4: In our case, a is x and b is 3. So, apply the formula: x² - 9 = (x - 3)(x + 3).
  • Step 5: Write down the factored form: (x - 3)(x + 3).
  • Difference of Squares – The expression x² - 9 is a difference of squares, which can be factored using the formula a² - b² = (a - b)(a + b).
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks