Several rational expression problems
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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
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Solution Summary
This solution includes explanation of problems of finding domain of rational functions, simplifying and adding/subtracting rational expressions.
Education
- BSc, Meerut University
- MSc, Meerut University
- MPhil, Institute of Advanced Studies
- MSc, AIT
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