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

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 Final answer to the problem

$1+8x+16x^{2}$
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.
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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 limits by direct substitution problems step by step online.

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

Learn how to solve limits by direct substitution 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

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

 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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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

 Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.