👉 Try now NerdPal! Our new math app on iOS and Android

Simplify the expression $\frac{x^3-8}{x-2}$

Step-by-step Solution

Go!
Math 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

$x^2+2x+4$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$

$\frac{\left(x- 8^{\frac{1}{3}}\right)\left(x^2+8^{\frac{1}{3}}x+8^{\frac{2}{3}}\right)}{x-2}$

Learn how to solve polynomial long division problems step by step online.

$\frac{\left(x- 8^{\frac{1}{3}}\right)\left(x^2+8^{\frac{1}{3}}x+8^{\frac{2}{3}}\right)}{x-2}$

Unlock unlimited step-by-step solutions and much more!

Unlock the first 2 steps of this solution.

Learn how to solve polynomial long division problems step by step online. Simplify the expression (x^3-8)/(x-2). Factor the difference of cubes: a^3-b^3 = (a-b)(a^2+ab+b^2). Divide 1 by 3. Divide 1 by 3. Divide 2 by 3.

Final Answer

$x^2+2x+4$

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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind (x^3-8)/(x-2) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: $x^2+2x+4$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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

How to improve your answer:

Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your Subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account