x 5 2xy Fri 11/6 Lesson 4 – 4 Learning Objective: To factor difference and sum of cubes & by grouping Hw: Factoring WS 2.

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Presentation transcript:

x 5

2xy

Fri 11/6 Lesson 4 – 4 Learning Objective: To factor difference and sum of cubes & by grouping Hw: Factoring WS 2

Algebra II

 To factor difference of cubes  To factor sum of cubes  To factor by grouping

 Pull out the cube roots  Square the first term  Change the Sign  First times the second term  Plus the last term squared

2x 1 3x 2 + 2x + 1) + 6x + 4)

4x 5 x 6y - 20x + 25) - 6xy

1 x 1

Factor By Grouping  Mainly used when there are 4 terms  Group the first two terms & the last two terms  Factor from each group  “Combine” like terms

(x + 5) (3x + 2y) (7y – 6) = (7y – 6)(x + 1)(x – 1)

10. 32ax + 12bx – 48ay – 18by = 2(16ax + 6bx – 24ay - 9by) = 2(2x(8a + 3b) – 3y(8a + 3b)) = 2 (2x – 3y) (8a + 3b)

11. 30ac + 80bd + 40ad + 60bc = 10(3ac + 8bd + 4ad + 6bc) = 10(3ac + 4ad + 8bd + 6bc) = 10(a(3c + 4d) + 2b(4d + 3c)) = 10 (a + 2b) (3c + 4d)

(x – 3) (x – 8) = 2(x – 8)(x + 2)(x – 2)

x 1

6x 4 3x 2