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# Several rational expression problems

6.1
Which numbers cannot be used in place of the variable in each
rational expression?.
#18

¬¬¬ 2Y + 1
_______________
y2 _ y - 6

#44 Reduce each rational expression to lowest terms. Assume that the
variables represent only numbers for which the denominators are
nonzero.

a2 _ b2
a - b

Reduce each expression to lowest term.
92.

4x2
----------
2x9

102.

-2x - 8
X2 + 2x - 8

6.2
Perform the indicated operation

70.

-2a2 20a
---- - ------
3a2 15a3

76.

W2 - 1 w - 1
--------- - --------
(w - 1)2 w2 + 2w + 1

6.3
20.

- 7yt ?
------ = ---
3x 18xyt

Find the LCD for the given rational expressions, and convert
each rational expression into an equivalent rational expression
with the LCD as the denominator.
66.

4 , 5x
------- --------
X -y 2y -2x

6.4
Perform the indicated operation. Reduce each answer to lowest
terms.

8.

4 1
--- - ----
9 9

28.

a + 7 9 - 5a
-------- + ---------
a - 4 a - 4

Perform the indicated operation. Reduce each answer to
lowest terms.

40.

y + 2y
4

Perform the indicated operation. Reduce each answer to lowest
terms.

56.

3 2
------- + -------
x +1 x - 1

62.

2 3
------ + ------
X -3 3-x

6.5
Simplify each complex fraction. Reduce each answer to
lowest terms.

52.

1 1 + 1
9 3x
x 1
9 - x

58.
6.6
Solve equations
30.
x 4
3 = -------
x +1

Solve each equations
42.

5 y + 7
------- = --------- + 1
Y - 3 2y - 6

50.

-3 x
---- = ----
X - 3

#### Solution Summary

This solution includes explanation of problems of finding domain of rational functions, simplifying and adding/subtracting rational expressions.

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