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Simplify the expression $\frac{2x-1}{4x^2-1}$

Step-by-step Solution

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Final Answer

$\frac{1}{2x+1}$
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Step-by-step Solution

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The power of a product is equal to the product of it's factors raised to the same power

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

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

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

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Learn how to solve polynomial long division problems step by step online. Simplify the expression (2x-1)/(4x^2-1). The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt{1}. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt{1}.

Final Answer

$\frac{1}{2x+1}$

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 (2x-1)/(4x^2-1) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{1}{2x+1}$

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1
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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

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.

Used Formulas

1. See formulas

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