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# Simplify the expression $\frac{x^2}{x^4+16}$

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##  Final answer to the problem

$\frac{x^2}{\left(x^2-\sqrt{8}x+4\right)\left(x^2+\sqrt{8}x+4\right)}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
1

Factor $x^4+16$ as the product of two polynomials

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

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

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

Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (x^2)/(x^4+16). Factor x^4+16 as the product of two polynomials. Calculate the power \sqrt{16}. Calculate the power \sqrt{16}. Calculate the power \sqrt{16}.

##  Final answer to the problem

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

##  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

SnapXam A2

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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

###  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.