How to Use the Difference of Two Squares Theorem to Solve Quadratic Equations

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question 1 of 3

Use the Difference of Two Squares Theorem to answer the following: The expression x² + 16 will break down to which two factors?

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1. If a certain difference between squares may be factored to (2x + 1) (2x - 1) = 0, then the solutions for x will be _____.

2. Using the Difference of Two Squares theorem, the expression A² - C² may be factored into which expression?

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About This Quiz & Worksheet

This quiz and worksheet offer an opportunity for you to review what you know about using the Difference of Two Squares Theorem to solve quadratic equations. You'll review the process of setting up the equations and solving for an answer.

Quiz & Worksheet Goals

This quiz and worksheet review:

  • How to properly factor and express squared variables
  • Solving for the solution
  • How to solve these problems with a coefficient

Skills Practiced

  • Knowledge application - revisit what you know about the Difference of Two Squares Theorem in order to answer questions about the proper quadratic expression
  • Problem solving - use what you know about the Difference of the Two Squares Theorem to solve related problems
  • Information recall - see if you can remember to manage a coefficient when solving these problems

Additional Learning

You can find more information about this topic in the provided lesson, How to Use the Difference of Two Squares Theorem to Solve Quadratic Equations. You'll review:

  • What a quadratic equation is
  • How we factor squared variables
  • What the Difference of Two Squares Theorem tells us
  • Examples of different problems
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