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Simplify the expression $\frac{-8x^2\left(2-x^2\right)-3\left(2-x^2\right)^2-3x\left(2-x^2\right)^2}{3x\left(2-x^2\right)^2}$

Step-by-step Solution

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Final Answer

$\frac{-\left(2-x^2\right)\left(8x\cdot x+6-3x^2+6x-3xx^2\right)}{3x\left(2-x^2\right)^2}$
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Step-by-step Solution

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Solve the product $3\left(2-x^2\right)$

$\frac{-\left(2-x^2\right)\left(8x\cdot x+6-3x^2+3x\left(2-x^2\right)\right)}{3x\left(2-x^2\right)^2}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{-\left(2-x^2\right)\left(8x\cdot x+6-3x^2+3x\left(2-x^2\right)\right)}{3x\left(2-x^2\right)^2}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (-8x^2(2-x^2)-3(2-x^2)^2-3x(2-x^2)^2)/(3x(2-x^2)^2). Solve the product 3\left(2-x^2\right). Solve the product 3x\left(2-x^2\right). Solve the product \left(6-3x^2\right)x.

Final Answer

$\frac{-\left(2-x^2\right)\left(8x\cdot x+6-3x^2+6x-3xx^2\right)}{3x\left(2-x^2\right)^2}$

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 (-8x^2+-3(2+-1x^2)^2)/3x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{-\left(5x^2+6+6x-3x^{3}\right)}{3x\left(2-x^2\right)}$

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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: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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