👉 Try now NerdPal! Our new math app on iOS and Android

Factor by completing the square $\frac{-5m^5n^2-\frac{1}{2}m^4n^4+\frac{2}{3}m^3n-4mn^4}{-4m^5n^3}$

Step-by-step Solution

Go!
Math mode
Text mode
Go!
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

Final answer to the problem

$\frac{-5m^{4}n-\frac{1}{2}n^{3}m^{3}+\frac{2}{3}m^2-4n^{3}}{-4m^{4}n^{2}}$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Factor the polynomial $-5m^5n^2-\frac{1}{2}m^4n^4+\frac{2}{3}m^3n-4mn^4$ by it's greatest common factor (GCF): $mn$

$\frac{mn\left(-5m^{4}n-\frac{1}{2}n^{3}m^{3}+\frac{2}{3}m^2-4n^{3}\right)}{-4m^5n^3}$

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

$\frac{mn\left(-5m^{4}n-\frac{1}{2}n^{3}m^{3}+\frac{2}{3}m^2-4n^{3}\right)}{-4m^5n^3}$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (-5m^5n^2-1/2m^4n^42/3m^3n-4mn^4)/(-4m^5n^3). Factor the polynomial -5m^5n^2-\frac{1}{2}m^4n^4+\frac{2}{3}m^3n-4mn^4 by it's greatest common factor (GCF): mn. Simplify the fraction by m. Simplify the fraction by n.

Final answer to the problem

$\frac{-5m^{4}n-\frac{1}{2}n^{3}m^{3}+\frac{2}{3}m^2-4n^{3}}{-4m^{4}n^{2}}$

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

SimplifyFactorFind the integralFind the derivativeFind (-5m^5+-0.5m^4)/-4m^5 using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: $\frac{-5m^{4}n-\frac{1}{2}n^{3}m^{3}+\frac{2}{3}m^2-4n^{3}}{-4m^{4}n^{2}}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
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.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account