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Simplify the expression $\frac{\frac{x^2-6x+9}{4x^2-1}\left(8x^3-1\right)}{x^2+5x-24}$

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Final answer to the problem

$\frac{\left(x-3\right)\left(8x^3-1\right)}{\left(4x^2-1\right)\left(x+8\right)}$
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Step-by-step Solution

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Multiplying the fraction by $8x^3-1$

$\frac{\frac{\left(x^2-6x+9\right)\left(8x^3-1\right)}{4x^2-1}}{x^2+5x-24}$

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

$\frac{\frac{\left(x^2-6x+9\right)\left(8x^3-1\right)}{4x^2-1}}{x^2+5x-24}$

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Learn how to solve polynomial long division problems step by step online. Simplify the expression ((x^2-6x+9)/(4x^2-1)(8x^3-1))/(x^2+5x+-24). Multiplying the fraction by 8x^3-1. Divide fractions \frac{\frac{\left(x^2-6x+9\right)\left(8x^3-1\right)}{4x^2-1}}{x^2+5x-24} 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}. The trinomial \left(x^2-6x+9\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula.

Final answer to the problem

$\frac{\left(x-3\right)\left(8x^3-1\right)}{\left(4x^2-1\right)\left(x+8\right)}$

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Function Plot

Plotting: $\frac{\left(x-3\right)\left(8x^3-1\right)}{\left(4x^2-1\right)\left(x+8\right)}$

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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
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

See formulas (1)

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