6 -6 Factoring by Grouping by yurtgc548

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• pg 1
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Warm-Up
5 3                      13 8
1.                     2.   
7 7                       3 3

3 7                      4  1
3.                     4. 
4 8                     15 10

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10.4 & 10.5 Addition and Subtraction
Objectives:
To add and subtract rational numbers
Example 1
3      2       32
       
2x  3 2x  3   2x  3
5

2x  3

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Example 2
Subtract and simplify.
m  9 4m  6   m  9  ( 4m  6)
        
m3    m3            m3
m  9  4m  6

m3
5m  15

m3
5(m  3)
          5
m3

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Practice
8x 2
2x 2         2y2  4y  3 y2  2y  12
          2)              
1) x  4 x  4            y 3          y 3

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Example 3
x 3x       x  5  3x  2 
                
2 5        2 5 5 2
5x 6x
   
10 10

11x

10

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Example 4
2    3           2  2x  3  x  2 
                              
x  2 2x         x  2  2x  2x  x  2 
4x        3(x  2)
            
2x(x  2) 2x(x  2)
4x  3(x  2)

2x(x  2)
4x  3x  6

2x(x  2)
7x  6

2x(x  2)
Example 5
Subtract and simplify.
5       x 2   5
5         5     
x 2      x 2 x 2
5x  10     5
         
x 2     x 2
5x  10  5

x 2
5x  15

x 2
5(x  3)

x 2
Practice

x       4                       1
1) x  2  x  2            2) 6 
x 2

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Homework
p.443 #5,11,13,15,19,21
p.448 #5,9,13,17,39,45

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