Simplifying Rational Expressions
Simplify the following rational expressions.
Original Expression
Simplified Expression
x
+
4
2
(
x
+
4
)
(
x
+
8
)
\displaystyle \frac{{{x}+{4}}}{{{2}{\left({x}+{4}\right)}{\left({x}+{8}\right)}}}
2
(
x
+
4
)
(
x
+
8
)
x
+
4
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Question 6 Part 1 of 4
x
+
1
x
2
−
7
x
−
8
\displaystyle \frac{{{x}+{1}}}{{{x}^{{2}}-{7}{x}-{8}}}
x
2
−
7
x
−
8
x
+
1
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Question 6 Part 2 of 4
30
x
6
x
2
+
18
x
\displaystyle \frac{{{30}{x}}}{{{6}{x}^{{2}}+{18}{x}}}
6
x
2
+
18
x
30
x
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Question 6 Part 3 of 4
7
x
−
56
x
2
−
10
x
+
16
\displaystyle \frac{{{7}{x}-{56}}}{{{x}^{{2}}-{10}{x}+{16}}}
x
2
−
10
x
+
16
7
x
−
56
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Question 6 Part 4 of 4
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\displaystyle