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# Simplify the expression $f\left(x\right)=\frac{x+1}{x^2-1}$

## Step-by-step Solution

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$f\left(x\right)=\frac{1}{x-1}$
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##  Step-by-step Solution 

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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 $\frac{1}{2}$

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

Learn how to solve algebraic expressions problems step by step online.

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

Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(x+1)/(x^2-1). 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}.

$f\left(x\right)=\frac{1}{x-1}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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4
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

### Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.