$f\left(x\right)=\frac{x^2}{x^4+16}$

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Final answer to the problem

$f\left(x\right)=\frac{x^2}{\left(x^2-\sqrt{8}x+4\right)\left(x^2+\sqrt{8}x+4\right)}$
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Apply the formula: $x^4+n$$=\left(x^2-\sqrt{2\sqrt{n}}x+\sqrt{n}\right)\left(x^2+\sqrt{2\sqrt{n}}x+\sqrt{n}\right)$, where $x^4+n=x^4+16$ and $n=16$

$f\left(x\right)=\frac{x^2}{\left(x^2-\sqrt{2\sqrt{16}}x+\sqrt{16}\right)\left(x^2+\sqrt{2\sqrt{16}}x+\sqrt{16}\right)}$

Learn how to solve expressions algébriques problems step by step online.

$f\left(x\right)=\frac{x^2}{\left(x^2-\sqrt{2\sqrt{16}}x+\sqrt{16}\right)\left(x^2+\sqrt{2\sqrt{16}}x+\sqrt{16}\right)}$

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Learn how to solve expressions algébriques problems step by step online. f(x)=(x^2)/(x^4+16). Apply the formula: x^4+n=\left(x^2-\sqrt{2\sqrt{n}}x+\sqrt{n}\right)\left(x^2+\sqrt{2\sqrt{n}}x+\sqrt{n}\right), where x^4+n=x^4+16 and n=16. Apply the formula: a^b=a^b, where a=16, b=\frac{1}{2} and a^b=\sqrt{16}. Apply the formula: a^b=a^b, where a=16, b=\frac{1}{2} and a^b=\sqrt{16}. Apply the formula: a^b=a^b, where a=16, b=\frac{1}{2} and a^b=\sqrt{16}.

Final answer to the problem

$f\left(x\right)=\frac{x^2}{\left(x^2-\sqrt{8}x+4\right)\left(x^2+\sqrt{8}x+4\right)}$

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Function Plot

Plotting: $f\left(x\right)+\frac{-x^2}{x^4+16}$

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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: Expressions algébriques

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