ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Simplify the expression $\frac{a^6b^3c^3+1}{a^2bc+1}$

Go!
Symbolic mode
Text mode
Go!
1
2
3
4
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

##  Final answer to the problem

$a^{4}b^{2}c^{2}-a^{2}bc+1$
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 the sum or difference of cubes using the formula: $a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2)$

$\frac{\left(\sqrt[3]{a^6b^3c^3}+\sqrt[3]{1}\right)\left(\sqrt[3]{\left(a^6b^3c^3\right)^{2}}-\sqrt[3]{1}\sqrt[3]{a^6b^3c^3}+\sqrt[3]{\left(1\right)^{2}}\right)}{a^2bc+1}$

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

$\frac{\left(\sqrt[3]{a^6b^3c^3}+\sqrt[3]{1}\right)\left(\sqrt[3]{\left(a^6b^3c^3\right)^{2}}-\sqrt[3]{1}\sqrt[3]{a^6b^3c^3}+\sqrt[3]{\left(1\right)^{2}}\right)}{a^2bc+1}$

Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (a^6b^3c^3+1)/(a^2bc+1). Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Calculate the power \sqrt[3]{1}. Calculate the power \sqrt[3]{1}. Multiply -1 times 1.

##  Final answer to the problem

$a^{4}b^{2}c^{2}-a^{2}bc+1$

##  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

Go!
1
2
3
4
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

###  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.

### Premium access on our iOS and Android apps.

##### Please hold while your payment is being processed.

Create an Account