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Byju's Answer
Standard X
Mathematics
Division of Rational Expressions
x/x-1÷x2/x2-1...
Question
x
x
−
1
÷
x
2
x
2
−
1
=
.
A
x
+
1
x
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B
x
−
1
x
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C
x
x
−
1
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D
x
x
+
1
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Solution
The correct option is
A
x
+
1
x
x
x
−
1
÷
x
2
x
2
−
1
=
x
x
−
1
×
x
2
−
1
x
2
=
x
(
x
−
1
)
(
x
+
1
)
(
x
−
1
)
x
2
=
x
+
1
x