Algebra Demystified 2nd Ed

100 algebra De mystif ieD

DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5

The LCD is (x + 1)^2 (4x + 5).

2

14 5

1

1

2

14 5

1

1

14

22

x

xxx

x

xxx

x

()() ()()

()(

++

+

+

=

++

+

+

⋅ + xx

xx

+

++

5

14 5

)

()()

= ++ +

++

2145

142 5

xx x

xx

()()

()()

23111

xx() ()+yxxy

++

+

TheLCDisxx^23 ()+y.

() ()

()

()

()

(

111

11

23

2

2

2

xxyxxy

xxy

xy

xy x

x

+

++

+

=

+

+

+

+⋅xxy

xx yxy

x

x

+

+

+

+

) ⋅

()()

3

33

2

2

1

(^) = +

• 
  


• 
  
  
  
  • 
    
  
  
  
  


• 
  


• 
  


• 
  

  = +
  ()
  ()
  ()
  () ()
  (
  xy
  xxy
  xx y
  xxy
  x
  xxy
  xy
  2
  23
  3
  23
  2
  23
  ))()
  ()
  232
  23
  +++

  
  


• 
  

  xx yx
  xxy
  212
  xy++xy^32 xy^4
  TheLCDisxy^34.
  2122 12
  32 4
  23
  23 32
  2
  24
  2
  xy xy xy xy
  xy
  xy xy
  y
  yxy
  x
  x
  ++=⋅ +⋅+⋅ 22
  23
  34
  2
  34
  2
  34
  23 22
  34
  =+^22 xy +=^22 ++
  xy
  y
  xy
  x
  xy
  xy yx
  xy
  PRACTICE
  Identify the LCD and then find the sum or difference.

  
  

1.^62
xxy

+=

2.^312
xy y

−=

3.^1
2

3

xx 10 2

+=

4.^11221
x xyz xyz

++=

PRACTICE

Identify the LCD and then find the sum or difference.

62

PRACTICE

Identify the LCD and then find the sum or difference.