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Factoring - Factoring Special Products

- Factoring Special ProductsObjective: Identify and factor Special Products includinga difference ofsquares, perfect squares, and sum and difference of Factoring there are a few Special Products that, if we can recognize them,can help us factor polynomials. The first is one we have seen before. When multi-plying Special Products we found that a sum and a difference could multiply to adifference of squares. Here we will use this Special product to help us factorDifference of Squares:a2 b2= (a+b)(a b)If we are subtracting two perfect squares then it will alwaysfactor to the sum anddifference of the square 16 Subtracting two perfect squares,the square roots arexand4(x+ 4)(x 4)Our SolutionExample 25b2 Subtracting two perfect squares,the square roots are3aand5b(3a+ 5b)(3a 5b)

6.5 Factoring - Factoring Special Products Objective: Identify and factor special products including a difference of squares, perfect squares, and sum and difference of cubes.

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