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How Do You Use the Formula for the Product of a Sum and a Difference?

Note:

Finding the product of two binomials with the same terms and opposite signs? You're finding the product of a sum and a difference! Use the formula for the product of a sum and a difference to quickly find the answer! This tutorial shows you how.

Keywords:

  • polynomial
  • binomial
  • multiplication
  • sum
  • difference
  • product
  • formula
  • difference of squares
  • reverse factoring
  • multiplication

Background Tutorials

  • Powers and Exponents

      • |
      • |
        How Do You Square a Number?

      How Do You Square a Number?

      Want to square a number? Just take the number and multiply it by itself! If you square an integer, you get a perfect square! Check out squaring in this tutorial!

  • Square Roots

      • |
      • |
        What's a Perfect Square?

      What's a Perfect Square?

      Anytime you square an integer, the result is a perfect square! The numbers 4, 9, 16, and 25 are just a few perfect squares, but there are infinitely more! Check out this tutorial, and then see if you can find some more perfect squares!

  • Simplifying Polynomial Expressions

      • |
      • |
        What is a Polynomial?

      What is a Polynomial?

      If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.

  • Multiplying Polynomials

      • |
      • |
        What's the Formula for the Product of a Sum and a Difference?

      What's the Formula for the Product of a Sum and a Difference?

      Multiplying monomials like (a + b) and (a - b) is really important when it comes to factoring, so if you want to get good at factoring, you're going to have to understand how to multiply a sum like (a + b) with a difference like (a - b)!

Further Exploration