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Factor the expression $\frac{x^4-4x^3-4x^2}{-x+\frac{-x^2}{2}+\frac{-x^3}{3}+\frac{-x^4}{4}+\frac{-x^5}{5}}$

Step-by-step Solution

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Solution

Final Answer

$\frac{120x\left(x^2-4x-4\right)}{-2\left(30x+20x^2+15x^{3}+12x^{4}+60\right)}$
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Step-by-step Solution

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Combine fractions with different denominator using the formula: $\displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}$

$\frac{x^4-4x^3-4x^2}{\frac{-3x^2-2x^3}{6}-x+\frac{-x^4}{4}+\frac{-x^5}{5}}$

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$\frac{x^4-4x^3-4x^2}{\frac{-3x^2-2x^3}{6}-x+\frac{-x^4}{4}+\frac{-x^5}{5}}$

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Learn how to solve problems step by step online. Factor the expression (x^4-4x^3-4x^2)/(-x+(-x^2)/2(-x^3)/3(-x^4)/4(-x^5)/5). Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Combine \frac{5\left(4\left(-3x^2-2x^3\right)-6x^4\right)-24x^5}{120}-x in a single fraction.

Final Answer

$\frac{120x\left(x^2-4x-4\right)}{-2\left(30x+20x^2+15x^{3}+12x^{4}+60\right)}$

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

SimplifyFactor by completing the squareFind the integralFind the derivativeFind (x^4+-4x^3)/(-1x+-1x^2/2) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{120x\left(x^2-4x-4\right)}{-2\left(30x+20x^2+15x^{3}+12x^{4}+60\right)}$

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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
D□x
∫
∫◻
|◻|
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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