Simplify $\frac{1}{x+1}+\frac{2x}{x^2-1}+\frac{-1}{x-1}$

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Final answer to the problem

$\left(x+1\right)\left(x-1\right)$
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1

Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

$\left(x+\sqrt{1}\right)\left(\sqrt{x^2}-\sqrt{1}\right)$

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$\left(x+\sqrt{1}\right)\left(\sqrt{x^2}-\sqrt{1}\right)$

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Learn how to solve combining like terms problems step by step online. Simplify 1/(x+1)+(2x)/(x^2-1)-1/(x-1). Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{1}.

Final answer to the problem

$\left(x+1\right)\left(x-1\right)$

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Function Plot

Plotting: $\frac{2x-2}{x^2-1}$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Combining like terms

Algebraic expressions can be simplified by combining like terms.

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