Simplify each complex fraction. Use either method. See Examples 1–6.t+ 5
t- 8
t^2 - 25
t^2 - 64y+ 8
y- 4
y^2 - 64
y^2 - 164 -^11
x-^3
x^2
2 -
1
x
15
x^2
2 +
1
x- 28
x^2
3 +^13
x
+^4
x^2
5
r+ 3- 1
r- 1
2
r+ 2
+^3
r+ 3
1
m- 1
+
2
m+ 2
2
m+ 2-^1
m- 3
2
x- 1
+ 2
2
x- 1- 2
1
m+ 1- 1
1
m+ 1
- 1
1
a+ 1
2
a^2 - 11
z+ 5
4
z^2 - 251
9- 1
m^2
1
3
- 1
m
1
4- 1
a^2
1
2
- 1
a
1
m^3 p
+
2
mp^2
4
mp
+
1
m^2 p5
x^2 y- 2
xy^2
3
x^2 y^2
- 4
xy
2
m^2- 3
m
2
5 m^2
- 1
3 m
2
p^2- 3
5 p
4
p
- 1
4 p
1
a^2- 1
b^2
1
a
1
b
1
x^2
+
1
y^2
1
x- 1
y
6
5- 1
9
2
5
- 5
3
5
8
+
2
3
7
3- 1
4
q+^1
qq+
4
qa-
5
a
a+
1
a3
m-m
3 - m^2
41
x+x
x^2 + 1
86 +
2
r
3 r+ 1
42
x- 3
2 - 3 x
2
q- 5
q
q+ 5
3m+ 2
3
m- 4
m2 r^4 t^2
3 t
5 r^2 t^5
3 r4 a^4 b^3
3 a
2 ab^4
b^2p^4
r
p^2
r^2x
y^2
x^2
y- 5
6
5
4
4
3
2
9
454 CHAPTER 7 Rational Expressions and Applications
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