2. FFF FFF i v e o r m s o f a c t o r i n g

3. 1.Greatest Common Factor (GCF) Ex 1 10x 2 y 3 z - 8x 4 y 2 2x 2 y 2 (5yz - 4x 2 ) Ex 2 15a 2 b 5 + 5ab 2 - 25a 3 b 4 5ab 2 (3ab 3 + 1 - 5a 2 b 2 )

4. 2.Factoring Trinomials Ex 1 Ex 2 x 2 - 15x + 36 ( )( ) 6x 2 + 11x - 10 ( )( ) Ex 3 10x 3 - 26x 2 + 12x ( )( )2x(5x 2 - 13x + 6) x x - 12 - 3 2x3x+ 5- 2 2x 5x x- 3- 2

5. 3.The Difference of Two Squares Ex 1 Ex 2 Ex 3 x 2 - 36(x + 6)(x - 6) 4a 2 - 81b 2 ( )( ) a 4 - b 6 ( )( ) Ex 4n 8 - 1 (n 4 + 1) (n 4 + 1)(n 2 + 1) 2a + 9b - 9b a 2 + b 3 - b 3 (n 4 - 1) (n 2 + 1)(n 2 - 1) (n + 1)(n - 1)

6. 4.Factoring By Grouping Ex 1 Ex 2 b 3 - 3b 2 + 4b - 12 (b 3 - 3b 2 ) + (4b - 12) group b 2 (b - 3) + 4(b - 3) factor out GCF now is (b - 3) (b - 3) 4ax + 14ay - 10bx - 35by (4ax + 14ay) - (10bx - 35by) 2a(2x + 7y)- 5b(2x + 7y)(2x+7y)(2a-5b) (b 2 + 4)

7. 5.The Sum & Difference of Cubes Ex 1 Ex 2 Ex 3 x 3 - 8 27a 3 + b 3 2 + 128y 6 2(1 + 64y 6 ) ( ) 2( )( ) x x 2 242x-++ 3a 9a 2 b b2b2 3ab + + - 1 4y 2 16y 4 4y 2 + + -

8. 1. Greatest Common Factor (GCF) 2. Factoring Trinomials 3. The Difference of Two Squares 4. Factoring By Grouping 5. The Sum & Difference of Cubes 2x 2 y 3 -6xy 2 2xy 2 (xy - 3)= 6x 2 + 11x - 10( )( )2x3x+ 5- 2= 4a 2 - 81b 2 ( )( ) 2a + 9b - 9b = b 3 - 3b 2 + 4b - 12(b - 3)(b 2 + 4)= x 3 - 8( ) x x 2 242x-++=