My Learning Cart
?
Categories
Account

Factor the expression x² - 16.

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

What’s inside this PDF?

Question: Factor the expression x² - 16.

Options:

  1. (x - 4)(x + 4)
  2. (x - 8)(x + 2)
  3. (x - 2)(x + 2)
  4. (x - 4)(x - 4)

Correct Answer: (x - 4)(x + 4)

Solution: 

x² - 16 = (x - 4)(x + 4) because it is a difference of squares.

Factor the expression x² - 16.

Practice Questions

Q1
Factor the expression x² - 16.
  1. (x - 4)(x + 4)
  2. (x - 8)(x + 2)
  3. (x - 2)(x + 2)
  4. (x - 4)(x - 4)

Questions & Step-by-Step Solutions

Factor the expression x² - 16.
  • Step 1: Identify the expression you want to factor, which is x² - 16.
  • Step 2: Recognize that x² - 16 is a difference of squares. A difference of squares has the form a² - b², where a = x and b = 4.
  • Step 3: Write the difference of squares formula: a² - b² = (a - b)(a + b).
  • Step 4: Substitute a and b into the formula: (x - 4)(x + 4).
  • Step 5: Write the final factored form: x² - 16 = (x - 4)(x + 4).
  • Difference of Squares – The expression x² - 16 can be factored using the difference of squares formula, which states that 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