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Factorization Using Difference of Squares
Read the information and pay close attention to the beginning, which reviews the sum/difference and square of binomial equations discussed earlier. Make sure you are comfortable with this before moving on. Pay attention to the examples under Factor the Difference of Two Squares since these examples show how to use the method. After you have reviewed the materials, complete Review Questions 1–5 and check your answers.
When you learned how to multiply binomials we talked about two special products.
\(\begin{align*} \text{The sum and difference formula:} \quad (a + b)(a - b) & = a^2 - b^2\\ \text{The square of a binomial formulas:} \qquad \quad \ \ (a + b)^2 & = a^2 + 2ab + b^2\\ (a - b)^2 & = a^2 - 2ab + b^2\end{align*}\)
In this section we'll learn how to recognize and factor these special products.
Source: cK-12, https://www.ck12.org/algebra/factor-difference-of-squares/lesson/Factorization-using-Difference-of-Squares-ALG-I/ This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 License.