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Do Now Factor completely. 2xy3 – 6xy2 – 36xy Factor completely. 4v4w – 4v3w – 80v2w Homework Solutions 7) 2(y2 + 14y + 13) 2(y + 13)(y + 1) 8) 3bc(a2 + 12a + 20) 3bc(a + 10)(a + 2) Homework Solutions 9) 5c(d2 + 7d + 10) 5c(d + 5)(d + 2) 10) 4mn2(m2 – 2m – 3) 4mn2(m – 3)(m + 1) Find the Pattern 1 4 9 16 25 36 … = 12 = 22 = 32 = 42 = 52 = 62 These are perfect squares! You should be able to list the first 15 perfect squares Perfect squares 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225 Find each product. 1) (x + 2) (x – 2) 2) (a + 6) (a – 6) Can you guess the factored form of y2 – 49 ? Difference of Squares A difference of squares is when you subtract two perfect squares. Ex: x2 – 25 9 – 49y2 a2 – b2 = (a – b)(a + b) OR (a + b)(a – b) 1. Factor. 2 x – 25 2. Factor. 2 c – 81 3. Factor. 16x2 – 9 4. Factor. 2 25x –4 5) Factor. 1. 2. 3. 4. prime (2m – 8)(2m + 8) 4(-16 + m2) (m – 4)(m + 4) Rewrite the problem as 4m2 – 64 so the subtraction is in the middle! -64 + 2 4m 6. Factor. 81a2 – 49b2 7. Factor. 225 – e2 8) Factor. 1. 2. 3. 4. (x + y)(x + y) (x – y)(x + y) (x + y)(x – y) (x – y)(x – y) Remember, the order doesn’t matter! x 2 – y2 9) Factor. 1. 2. 3. 4. prime (9c + 4d) (9c – 4d) (3c – 2d)(3c + 2d) (3c + 2d)(3c + 2d) You cannot factor using difference of squares because there is no subtraction! 2 9c + 2 4d Homework Worksheet pg. 547 #’s 1 – 7