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

Factor the expression $\left(\left(x+1\right)^3-\left(x-1\right)^3\right)\left(x+1\right)\left(x-1\right)$

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

0

Step-by-step Solution

Specify the solving method

1

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

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

Learn how to solve factor problems step by step online.

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

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

Create a free account and unlock a glimpse of this solution.

Learn how to solve factor problems step by step online. Factor the expression ((x+1)^3-(x-1)^3)(x+1)(x-1). Factor the difference of cubes: a^3-b^3 = (a-b)(a^2+ab+b^2). Factoring by x-1. Subtract the values 1 and -1. Any expression multiplied by 0 is equal to 0.

Final Answer

0

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

SimplifyFactor by completing the squareFind the integralFind the derivativeFind ((x+1)^3+-1(x-1)^3)(x+1) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: 0

Main Topic: Factor

Factor the expression.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited 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