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* * * Students will be able to differentiate between the difference of Square and the difference of cubes. Students will be able to evaluate functions, Difference of Cubes and Difference of Square. Students will understand the roots for Difference of Cubes and Difference of Square and apply these concepts to real-world applications. * Teacher will instruct students on how to apply their factoring knowledge to special cases such as Difference of Square and Difference of Cubes. Factoring: Special Cases 2 2 a - b = (a+b)(a-b) 2 2 a + b =(NOT FACTORABLE!!) 262 Confirm With Technology 2 x - 81 ( x + 9)( x - 9 ) x+9=0 ? Cross the “x” axis ? x–9=0 Difference of Squares 2 x - 289 ( + )( - Difference of Squares ) 2 x - 36 2 9x - 64 (3x+ 8)(3x- 8 ) you do zeros Confirm with Technology 2 16x - 25 ( + )( - ) 2 9x + 25 NOT FACTORABLE 2 4x - 169 Difference of Cubes 3 3 2 2 (a + b )=(a+b)(a - ab + b ) opposite Always + match 3 3 2 2 (a - b )=(a-b)(a + ab + b ) opposite MATCH Always + Difference of Cubes 3 x + 125 (x+5)(x2 –5x + 25) Apply Quadratic Formula Difference of Cubes x3+ 64 (x+4)(x2– 4x+16) Quadratic Formula Difference of Cubes 3 x+8 3 3 x +1 x +729 Factor only 3 3 64x + 125 8x + 27 Find zeros Lab