Operating with Rational Expressions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What is
2
x
−
1
2
x
\frac{2}{x}-\frac{1}{2x}
x
2
−
2
x
1
written as a single fraction?
QUESTION
What is the quotient
2
x
÷
3
x
+
1
\frac{2}{x}\div\frac{3}{x+1}
x
2
÷
x
+
1
3
simplified?
QUESTION
What is
1
x
+
1
−
1
x
−
1
\frac{1}{x+1}-\frac{1}{x-1}
x
+
1
1
−
x
−
1
1
written as a single fraction?
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ANSWER
−
2
x
2
−
1
\frac{-2}{x^2-1}
x
2
−
1
−
2
. Use LCD
x
2
−
1
x^2-1
x
2
−
1
to get
x
−
1
−
(
x
+
1
)
x
2
−
1
\frac{x-1-(x+1)}{x^2-1}
x
2
−
1
x
−
1
−
(
x
+
1
)
.
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