1. 6.4 Difference of Squares Difference of Cubes

2. Common Core objectives
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.

3. Difference of Squares a - b = (a+b)(a-b) a + b =(NOT FACTORABLE!!) 2 2
Factoring: Special Cases
Difference of Squares
a - b = (a+b)(a-b) 2 2
a + b =(NOT FACTORABLE!!) 2 2
262

4. x - 81 ( + )( - ) x 9 x 9 x + 9 = 0 x – 9 = 0 2 Difference of Squares
Confirm
With
Technology
x - 81 2
( )( ) x 9 x 9
x + 9 = 0
? Cross the “x” axis ?
x – 9 = 0
Difference of Squares

5. x - 289 2
( )( )
Difference of Squares

6. x - 36 2

7. Confirm with Technology
9x - 64 2
( )( ) 3x 8 3x 8
you do zeros
Confirm with Technology

8. 16x - 25 2
( )( )

9. 9x + 25 2
NOT FACTORABLE

10. 4x - 169 2

11. Difference of Cubes (a + b )=(a+b)(a - ab + b )3 3 2 2
opposite
Always +
match
(a - b )=(a-b)(a + ab + b ) 3 3 2 2
opposite
Always +
MATCH

12. Difference of Cubes x + 125 (x+5)(x –5x + 25) 3 2 Apply
Quadratic Formula

13. Difference of Cubes x + 64 (x+4)(x – 4x+16) 3 2 Quadratic Formula
Zeros ?

14. Difference of Cubes
x + 8 3
Roots ?

15. x +1
x +729 3 3
Factor only

16. 64x + 125 3
8x + 27 3
Find zeros

17. Lab