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

Simplify the expression $\frac{5\left(\frac{x^2+3x+5}{2x-1}\right)^4\left(2x^2-2x-13\right)}{4x^2-4x+1}$

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

$\frac{5\left(x^2+3x+5\right)^4\left(2x^2-2x-13\right)}{\left(2x-1\right)^4\left(4x^2-4x+1\right)}$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$\frac{5\left(\frac{\left(x^2+3x+5\right)^4}{\left(2x-1\right)^4}\right)\left(2x^2-2x-13\right)}{4x^2-4x+1}$

Learn how to solve polynomial long division problems step by step online.

$\frac{5\left(\frac{\left(x^2+3x+5\right)^4}{\left(2x-1\right)^4}\right)\left(2x^2-2x-13\right)}{4x^2-4x+1}$

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

Unlock the first 2 steps of this solution.

Learn how to solve polynomial long division problems step by step online. Simplify the expression (5((x^2+3x+5)/(2x-1))^4(2x^2-2x+-13))/(4x^2-4x+1). The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Multiplying the fraction by 5\left(2x^2-2x-13\right). Divide fractions \frac{\frac{5\left(x^2+3x+5\right)^4\left(2x^2-2x-13\right)}{\left(2x-1\right)^4}}{4x^2-4x+1} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.

Final Answer

$\frac{5\left(x^2+3x+5\right)^4\left(2x^2-2x-13\right)}{\left(2x-1\right)^4\left(4x^2-4x+1\right)}$

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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind 5((x^2+3x)/(2x-1))^4/(4x^2+-4x) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: $\frac{5\left(x^2+3x+5\right)^4\left(2x^2-2x-13\right)}{\left(2x-1\right)^4\left(4x^2-4x+1\right)}$

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 long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Complete 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