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If x = 4 and y = 5, what is the value of x² - y²?

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Question: If x = 4 and y = 5, what is the value of x² - y²?

Options:

  1. -9
  2. 9
  3. 20
  4. 1

Correct Answer: 9

Solution: 

x² - y² = 4² - 5² = 16 - 25 = -9.

If x = 4 and y = 5, what is the value of x² - y²?

Practice Questions

Q1
If x = 4 and y = 5, what is the value of x² - y²?
  1. -9
  2. 9
  3. 20
  4. 1

Questions & Step-by-Step Solutions

If x = 4 and y = 5, what is the value of x² - y²?
  • Step 1: Identify the values of x and y. Here, x = 4 and y = 5.
  • Step 2: Calculate x squared (x²). This means multiplying x by itself: 4 * 4 = 16.
  • Step 3: Calculate y squared (y²). This means multiplying y by itself: 5 * 5 = 25.
  • Step 4: Substitute the values of x² and y² into the expression x² - y². So, we have 16 - 25.
  • Step 5: Perform the subtraction: 16 - 25 = -9.
  • Difference of Squares – The expression x² - y² can be factored as (x - y)(x + y), which is a key algebraic identity.
  • Substitution – The question tests the ability to substitute given values into an algebraic expression.
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