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# Simplify the expression $\frac{x^2+2x+1}{x^2+1}$

## Step-by-step Solution

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###  Videos

$\frac{\left(x+1\right)^{2}}{x^2+1}$
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##  Step-by-step Solution 

Problem to solve:

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

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1

The trinomial $x^2+2x+1$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$

Learn how to solve polynomial long division problems step by step online.

$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$

Learn how to solve polynomial long division problems step by step online. Simplify the expression (x^2+2x+1)/(x^2+1). The trinomial x^2+2x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

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

##  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 derivativeFind (x^2+2x)/(x^2+1) using the definitionFind the rootsFind break even pointsFind the discriminant

SnapXam A2

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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

### Main topic:

Polynomial long division

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