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Simplify the expression $\frac{x^2-4}{\left(3x-6\right)^{-1}}$

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Final Answer

$\left(x^2-4\right)\left(3x-6\right)$
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Step-by-step Solution

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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{x^2-4}{\frac{1}{\left(3x-6\right)^{1}}}$

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

$\frac{x^2-4}{\frac{1}{\left(3x-6\right)^{1}}}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (x^2-4)/((3x-6)^(-1)). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Divide fractions \frac{x^2-4}{\frac{1}{3x-6}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.

Final Answer

$\left(x^2-4\right)\left(3x-6\right)$

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 (x^2-4)/((3x-6)^(-1)) using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Plotting: $\left(x^2-4\right)\left(3x-6\right)$

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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

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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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