Practice 4.6 – Special Products Name ____________________________________ When you multiply certain pairs of binomials, there is a pattern to the results. Use the distributive property and/or an area model to multiply and see if you notice anything special about the result. When looking for a pattern, try considering the following questions: What do you notice about the answers? What do they have in common? Why do you think this happened? Can you think of a shortcut to get the answer? Pattern A 1. x 5 x − 5 2. x 3 x − 3 3. x 4x − 4 4. x − 2 x 2 5. x − 6 x 6 6. x − y x y 7. Write down some observations about the results, then fill in the special product rule. A B A − B = 8. Use this rule to write the answer directly. a. x 9 x − 9 b. x − 8 x 8 c. 2 x 52 x − 5 d. 3 x 4 y 3 x − 4 y Pattern B – Use the distributive property and/or an area model to multiply and see if you notice anything special about the result. 1. x 7 x 7 2. x 2 x 2 3. x 42 = x 4 x 4 4. x 9 x 9 5. x 5 x 5 6. x y 2 = x y x y 7. Write down some observations about the results, then fill in the special product rule. 8. Use this rule to write the answer directly. a. x 6 x 6 b. 2 x 32 x 3 2 A B = Pattern C – Use the distributive property and/or an area model to multiply and see if you notice anything special about the result. 1. x − 7 x − 7 2. x − 2 x − 2 4. Write down some observations about the results, then fill in the special product rule. 3. x − 42 = x − 4 x − 4 5. Use this rule to write the answer directly. a. x − 9 x − 9 b. 3 x − 13 x − 1 2 A − B =

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