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Factoring trinomials with two variables is extremely similar to factoring with one variable. This video shows the difference between factoring in one variable vs. factoring in two variables. Notice how the lecturer makes sure to check his answer.
Source: Khan Academy, https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-factoring-polynomials-quadratic-forms/v/factoring-quadratics-with-two-variables This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.