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

Step-by-step Solution

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Final answer to the problem

$\frac{1}{x^{4}+2x^2+2x^{3}+2x+1}$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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1

Expand the expression $\left(x+1\right)^2$ using the square of a binomial

$(a+b)^2=a^2+2ab+b^2$

Learn how to solve special products problems step by step online.

$(a+b)^2=a^2+2ab+b^2$

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Unlock the first 3 steps of this solution

Learn how to solve special products problems step by step online. Expand the expression 1/((x+1)^2(x^2+1)). Expand the expression \left(x+1\right)^2 using the square of a binomial. Take the square of the first term: x. Twice (2) the product of the two terms: x and 1. Take the square of the second term: 1.

Final answer to the problem

$\frac{1}{x^{4}+2x^2+2x^{3}+2x+1}$

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Function Plot

Plotting: $\frac{1}{x^{4}+2x^2+2x^{3}+2x+1}$

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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: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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