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What is the value of (x - 4)(x + 4)?

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Question: What is the value of (x - 4)(x + 4)?

Options:

  1. x² - 16
  2. x² + 16
  3. x² - 8
  4. x² + 8

Correct Answer: x² - 16

Solution: 

(x - 4)(x + 4) = x² - 16.

What is the value of (x - 4)(x + 4)?

Practice Questions

Q1
What is the value of (x - 4)(x + 4)?
  1. x² - 16
  2. x² + 16
  3. x² - 8
  4. x² + 8

Questions & Step-by-Step Solutions

What is the value of (x - 4)(x + 4)?
  • Step 1: Identify the expression you need to simplify, which is (x - 4)(x + 4).
  • Step 2: Recognize that this expression is in the form of a difference of squares, which is a special formula: (a - b)(a + b) = a² - b².
  • Step 3: In our case, a is x and b is 4. So, we can rewrite the expression using the formula.
  • Step 4: Apply the formula: (x - 4)(x + 4) becomes x² - 4².
  • Step 5: Calculate 4², which is 16.
  • Step 6: Substitute back into the expression: x² - 16.
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