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Factor by completing the square $\frac{x^2- \left(3+1\right)x+3}{x^3-1\cdot 3^3}$

Step-by-step Solution

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Final Answer

$\frac{-1+\left(x-2\right)^2}{\left(x-3\right)\left(x^2+3x+9\right)}$
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Step-by-step Solution

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Add the values $3$ and $1$

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

Learn how to solve polynomial factorization problems step by step online.

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

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Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (x^2-(3+1)x+3)/(x^3-3^3). Add the values 3 and 1. Multiply -1 times 4. Calculate the power 3^3. Multiply -1 times 27.

Final Answer

$\frac{-1+\left(x-2\right)^2}{\left(x-3\right)\left(x^2+3x+9\right)}$

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

SimplifyFactorFind the integralFind the derivativeFind (x^2+-1(3+1))/(x^3+-13^3) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{-1+\left(x-2\right)^2}{\left(x-3\right)\left(x^2+3x+9\right)}$

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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: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

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