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

Step-by-step Solution

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Final answer to the problem

$1+8x+16x^{2}$
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Step-by-step Solution

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Expand the expression $\left(1+4x\right)^2$ using the square of a binomial

$(a+b)^2=a^2+2ab+b^2$

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

$(a+b)^2=a^2+2ab+b^2$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression x/((1+4x)^2). Expand the expression \left(1+4x\right)^2 using the square of a binomial. Take the square of the first term: 1. Twice (2) the product of the two terms: 1 and 4x. Take the square of the second term: 4x.

Final answer to the problem

$1+8x+16x^{2}$

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Function Plot

Plotting: $\frac{x}{1+8x+16x^{2}}$

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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

How to improve your answer:

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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