Algebra Demystified 2nd Ed

Chapter 6 FaCtoring and the distributive ProPerty 149

PRACTICE

Factor the numerator and denominator, and then write the fraction in

lowest terms.

1.^1824
6

xy− =

2.^89
2

xy x^2

x

− =

3.^1421
3

22

2

xy xy

x

+ =

4.^2814
7

xy

x

− =

5.^164
12 8

32

22

xy xy

xy xy

+

−

=

6.^155
30 25

22

2

xyz xz

xy x

+

+

=

7.^24618
54 48

4232

33 325

xyz xyzxz

xyzxyz

+−

+

=

✔SOLUTIONS

1.^1824
6

63 4

6

xy− = ()xy− =− 34 xy

2.^89
2

89

2

89

2

xy x^2

x

xy x

x

− = ()− = yx−

3.^1421
3

14 21

3

14 21

3

22

2

2

2

xy xy^2

x

xxyy

x

xy y

x

+ = ()+ = +

4.^2814
7

74 2

7

xy 42

x

xy

x

xy

x

− = ()− = −

5.^164
12 8

44 1

432

(^324)
22
xy xy^22
xy xy
xy xy
xy yx

• xy
  −
  = +
  −
  ()=
  ()
  ++
  −
  1
  32 yx

6.^155
30 25

53

56 5

(^223)
2
xyz xz^22
xy x
xyzxz
xxy

• yz


• 
  

  = +

  
  


• 
  

  ()= +
  ()
  xxz
  65 xy+

  
  

7.^24618
54 48

(^423264)
33 325
xyz xyzxz^22
xyzxyz
+− xz yz x

• = ( + yyz
  xz yz xyz
  yz xyz
  yz xyz
  −


• 
  

  = +−

  
  


• 
  

  3
  69 8
  43
  (^2322398)
  2
  3223
  )
  ()
  PRACTICE
  Factor the numerator and denominator, and then write the fraction in