Algebra II Pre AP
Name ______________________________
Worksheet 11.4 – 11.5
Date __________________ Period______
Simplify each rational expression. State any restrictions on the variables.
12
n 1
n9 5

n 1 n
n5 
1.
____________________
4
4

x x2
2.
4
x2
 2
x2
x
____________________
3.
3a 3  a 4
2a 3  6a 2
______________
4.
8x2 y
2 xy 2

15a 2b 5ab 4
______________
5.
m2  n 2
nm

4m  4n n  m
______________
6.
a 3  2a 2  2a  4
a3  2a 2  3a  6
______________
______________
8.
w2  11w  24
w2  18w  80
7.
12 x 2  6 x  6
4  x  1
2

6x  3
2 x  10
x2  2 x  8 x2  4 x  3
9.

x2  x  1
x3  1
3x  3
x2
10.
x 2  2 x  35
2 x3  3x 2
12.
7
18
2

 2 ______________
2 x 9 xy 3x
14. 3 
16.
4 x3  9 x
7 x  49
x
2
 2
x2
x 4
_____________________________
______________
____________________
m2  n 2
m
n
____________________


2
2
m n
nm mn
5a 2  20
18. 2a  2
10a  20
4a
3 x
5

2
20. 2 x  32 2 x  8
3
7

x4 x4
w2  15w  50
______________
w2  9w  20
____________________
____________________
11.
5 x 2  10 x  75
4 x 2  24 x  28
2 x 2  10 x  28
____________
x 2  7 x  10
13.
4
2

x3 x2
______________
15.
x
x2
3x
_________________


x  2x  1 x  1 x  1
17.
x  2y
2x
 2
2
x  4 xy  4 y
x  4 y2
2
2
5 x 2  5 x  30
45  15 x
19.
x2  x  6
4 x  12
21.
 x  2
  x  5
2
2x  x  3
x 2  3x  10
1
________________
________________
1
___________________