(1+(1/(x+1)))(1-(1/(x-1)))
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Algebra Examples
Popular Problems Algebra Simplify 1/(x+1)+1/(x-1)
1
x
+
1
+
1
x
−
1
To write
1
x
+
1
as a fraction with a common denominator, multiply by
x
−
1
x
−
1
.
1
x
+
1
⋅
x
−
1
x
−
1
+
1
x
−
1
To write
1
x
−
1
as a fraction with a common denominator, multiply by
x
+
1
x
+
1
.
1
x
+
1
⋅
x
−
1
x
−
1
+
1
x
−
1
⋅
x
+
1
x
+
1
Write each expression with a common denominator of
(
x
+
1
)
(
x
−
1
)
, by multiplying each by an appropriate factor of
1
.
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x
−
1
(
x
+
1
)
(
x
−
1
)
+
x
+
1
(
x
+
1
)
(
x
−
1
)
Combine the numerators over the common denominator.
x
−
1
+
x
+
1
(
x
+
1
)
(
x
−
1
)
Simplify the numerator.
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2
x
(
x
+
1
)
(
x
−
1
)
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