Simplify the quotient of powers $\frac{x^5\left(x-1\right)^3}{\left(x+2\right)^3\left(x^2+1\right)^3}$

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Final answer to the problem

$\frac{x^5x^3-3x^2+3x-1}{\left(x+2\right)^3\left(x^2+1\right)^3}=0$
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Step-by-step Solution

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Resolver la ecuación para $x$

$\frac{x^5\left(x-1\right)^3}{\left(x+2\right)^3\left(x^2+1\right)^3}=0$

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$\frac{x^5\left(x-1\right)^3}{\left(x+2\right)^3\left(x^2+1\right)^3}=0$

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Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers (x^5(x-1)^3)/((x+2)^3(x^2+1)^3). Resolver la ecuación para x. The cube of a binomial (difference) is equal to the cube of the first term, minus three times the square of the first by the second, plus three times the first by the square of the second, minus the cube of the second term. In other words: (a-b)^3=a^3-3a^2b+3ab^2-b^3 = (x)^3+3(x)^2(-1)+3(x)(-1)^2+(-1)^3 =. Multiply 3 times -1. Calculate the power {\left(-1\right)}^2.

Final answer to the problem

$\frac{x^5x^3-3x^2+3x-1}{\left(x+2\right)^3\left(x^2+1\right)^3}=0$

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Function Plot

Plotting: $\frac{x^5\left(x-1\right)^3}{\left(x+2\right)^3\left(x^2+1\right)^3}$

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0
a
b
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g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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: Quotient of Powers

The quotient of powers of same base is equivalent to the same base to the power of the difference of exponents: $\frac{a^m}{a^n}=a^{m-n}$.

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