40. 41. 42.
43. 44. 45.
46. 47. 48.
49. 50.
Write each rational expression in lowest terms. See Example 3.55. 56. 57.
58. 59. 60.
Multiply or divide as indicated. See Examples 4 and 5.63. 64.
65. 66.
67. 68.
69. 70.
71. 72.
73. 74.
75. 76.
77. 78.
79. 80.
81. 82.
83. 84.
t^2 - 49
t^2 + 4 t- 21#t
(^2) + 8 t+ 15
t^2 - 2 t- 35
x^2 - 25
x^2 +x- 20
#x
(^2) + 7 x+ 12
x^2 - 2 x- 15
9 s- 12 t
2 s+ 2 t
#^3 s+^3 t
4 t- 3 s
12 x- 10 y
3 x+ 2 y
#^6 x+^4 y
10 y- 12 x
k^2 - 4
3 k^2
,
2 - k
11 k4 x- 20
5 x,
2 x- 10
7 x^31 y^2 - 42 ,2 - y
8 y1 z^2 - 12 #
1
1 - z18 y- 162 ,3 y- 6
1017 k+ 72 ,4 k+ 4
5a^2 - 1
4 a#^2
1 - ap^2 - 25
4 p#^2
5 - p12 x- 20
5 x#^6
9 x- 154 x
8 x+ 4#^14 x+^7
616 x+ 521 x- 32
1 x- 121 x- 32,
12 x+ 721 x+ 92
1 x- 121 x+ 9212 x+ 321 x- 42
1 x+ 821 x- 42,
1 x- 421 x+ 22
1 x- 421 x+ 821 x+ 321 x- 42
1 x- 421 x+ 22#
1 x+ 521 x- 62
1 x+ 321 x- 621 x+ 221 x+ 12
1 x+ 321 x- 22#
1 x+ 321 x+ 42
1 x+ 221 x+ 121 - 4 a^2 b^322 # 91 a^2 b^422
12 a^2 b^324 # 13 a^3 b 22,
1 ab 24
1 a^2 b^3221 - 3 mn 22 # 641 m^2 n 23
16 m^2 n^41 mn^223,
241 m^2 n^224
13 m^2 n^322s^3 t^2
10 s^2 t^4,
8 s^4 t^2
5 t^65 a^4 b^2
16 a^2 b,
25 a^2 b
60 a^3 b^2a^4
5 b^2#^25 b
4
a^3x^3
3 y#^9 y
2
x^5p^2 +q^2
p^2 - q^2a^2 - b^2
a^2 +b^27 x- 21
63 - 21 x5 k- 10
20 - 10 k18 - p 21 x+ 22
1 p- 821 x- 221 a- 321 x+y 2
13 - a 21 x-y 2m^2 - n^2
n-mx^2 - y^2
y-xr- 13
13 - r7 - b
b- 72 xy+ 2 xw+y+w
2 xy+y- 2 xw-wac-ad+bc-bd
ac-ad-bc+bd3 s^2 - 9 st- 54 t^2
3 s^2 - 6 st- 72 t^22 c^2 + 2 cd- 60 d^2
2 c^2 - 12 cd+ 10 d^2r^3 - s^3
r-sa^3 +b^3
a+b12 x^2 - 4 x- 5
8 x^2 - 6 x- 58 x^2 - 10 x- 3
8 x^2 - 6 x- 9y^2 - 5 y- 14
y^2 +y- 2x^2 + 2 x- 15
x^2 + 6 x+ 55 s- 25
s^2 - 25