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Simplify the expression $\frac{x^5-2x^4-10}{x^3-9x}=x^2-2x+9+\frac{-18x^2+81x-10}{x^3-9x}$

Step-by-step Solution

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Final answer to the problem

$\frac{-10+x^{5}-2x^{4}}{x^3-9x}$
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Step-by-step Solution

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Combine all terms into a single fraction with $x^3-9x$ as common denominator

$\frac{-18x^2+81x-10+\left(x^2-2x+9\right)\left(x^3-9x\right)}{x^3-9x}$

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$\frac{-18x^2+81x-10+\left(x^2-2x+9\right)\left(x^3-9x\right)}{x^3-9x}$

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Learn how to solve problems step by step online. Simplify the expression (x^5-2x^4+-10)/(x^3-9x)=x^2-2x+9(-18x^2+81x+-10)/(x^3-9x). Combine all terms into a single fraction with x^3-9x as common denominator. Multiply the single term x^3-9x by each term of the polynomial \left(x^2-2x+9\right). Multiply the single term x^2 by each term of the polynomial \left(x^3-9x\right). When multiplying exponents with same base we can add the exponents.

Final answer to the problem

$\frac{-10+x^{5}-2x^{4}}{x^3-9x}$

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

FactorFactor by completing the squareFind the integralFind the derivativeFind x^2+-2x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{-10+x^{5}-2x^{4}}{x^3-9x}$

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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

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