# Several rational expression problems

Please see attachment.

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.