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

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Tutorial - Mulitplying rational expressions ex 24, (2x^2+5x+2)/(4x^2 - 1) × (2x^2+x-1)/(x^2+x-2)

https://www.youtube.com/watch?v=v48wMsNGC7I

Tutorial - Dividing two polynomials using synthetic division ex 7, (3x^2 - 4x^2 + 5) / (2x + 3)

https://www.youtube.com/watch?v=OQH9W_QThaY

Calculus - Mulitiplying Rational Expressions, ((x^2 - 2x - 3)/(x^2 - 1)) . ((3x - 3)/(x^2 - 4x + 3))

https://www.youtube.com/watch?v=eB9q_okoWFA

Tutorial - Multiplying rational expressions ex 24, ((x^2-5x+6)/(x^2-4)) × ((x^2+3x+2)/(x^2-2x-3))

https://www.youtube.com/watch?v=IUrAMNFqq4A

Tutorial - Multiplying rational expressions ex 26, (x^2+3x-4)/((x^2+4x+4) × (2x^2+4x)/(x^2-4x+3)

https://www.youtube.com/watch?v=9hVK2MT8LYM

Tutorial - Simplifying Expressions with Complex numbers ex 5, -5(1 + 2i) + 3i(3 - 4i)

https://www.youtube.com/watch?v=jY4X3tq6bd0

Function Plot

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

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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

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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.

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