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Simplify the expression $\frac{\frac{3x-6}{x^2+21x+54}}{\frac{40x^2}{x^2+6x+9}}$

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Videos

Algebra 2 - Learn how solve a quadratic by completing the square with fractions, x^2 + 3x + 6 = 0

https://www.youtube.com/watch?v=KWBr5zM3tXs

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

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

Pre-Calculus - Mulitplying by the LCM to simplify a complex fraction, (1/4 + 2/3)/(5/6 - 1/12)

https://www.youtube.com/watch?v=Cz-Gq4tqQ6c

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 - Simplifying complex fractions ex 33, ((x/3) -6) / (10+(4/x))

https://www.youtube.com/watch?v=kIJ8S9gVJ6Q

Function Plot

Plotting: $\frac{\left(3x-6\right)\left(x+3\right)}{40x^2\left(x+18\right)}$

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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
D□x
∫
∫◻
|◻|
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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Similar Problems Solved

$\frac{\frac{3x-6}{x^2+21x+54}}{\frac{40x^2}{x^2+6x+9}}$

$\frac{x^5+\left(2\cdot \sqrt{3}+2\right) x^3+2\cdot \sqrt{2}+7}{x-\sqrt{2}+1}$

$\frac{m^3n\sqrt{x}}{\left(2^4 m^7 n^6\cdot x\right)^{\frac{1}{5}}}$

$\frac{x^4-\frac{4}{3} x^3-2x^2-\frac{4}{3}\cdot x+1}{x-2}$

$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

$\frac{\frac{x^2-16}{x-1}}{\frac{x^2+6x+8}{x^2+2x-3}}$

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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