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Simplify $1+s+\frac{5}{\left(s+1\right)^2+1}$

Step-by-step Solution

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Final answer to the problem

$\frac{7+3s^2+4s+s^{3}}{2+s^2+2s}$
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Step-by-step Solution

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Combine all terms into a single fraction with $\left(s+1\right)^2+1$ as common denominator

$\frac{5+\left(1+s\right)\left(\left(s+1\right)^2+1\right)}{\left(s+1\right)^2+1}$

Learn how to solve combining like terms problems step by step online.

$\frac{5+\left(1+s\right)\left(\left(s+1\right)^2+1\right)}{\left(s+1\right)^2+1}$

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Learn how to solve combining like terms problems step by step online. Simplify 1+s5/((s+1)^2+1). Combine all terms into a single fraction with \left(s+1\right)^2+1 as common denominator. Expand \left(s+1\right)^2. Add the values 1 and 1. Expand \left(s+1\right)^2.

Final answer to the problem

$\frac{7+3s^2+4s+s^{3}}{2+s^2+2s}$

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 1+s using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{7+3s^2+4s+s^{3}}{2+s^2+2s}$

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1
2
3
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

How to improve your answer:

Main Topic: Combining like terms

Algebraic expressions can be simplified by combining like terms.

Used Formulas

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