Simplify the expression $f\left(x\right)=\left(x^3+x-1\right)^2$

Step-by-step Solution

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

$f\left(x\right)=x^{6}+x^2+1+2x^{4}-2x^3-2x$
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
  • Load more...
Can't find a method? Tell us so we can add it.
1

Expand the trinomial using the formula $\left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc$

$f\left(x\right)=\left(x^3\right)^2+x^2+{\left(-1\right)}^2+2x^3x+2\cdot -1x^3+2\cdot -1x$

Learn how to solve algebraic expressions problems step by step online.

$f\left(x\right)=\left(x^3\right)^2+x^2+{\left(-1\right)}^2+2x^3x+2\cdot -1x^3+2\cdot -1x$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(x^3+x+-1)^2. Expand the trinomial using the formula \left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Multiply 2 times -1. Multiply 2 times -1. Calculate the power {\left(-1\right)}^2.

Final answer to the problem

$f\left(x\right)=x^{6}+x^2+1+2x^{4}-2x^3-2x$

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

Help us improve with your feedback!

Function Plot

Plotting: $f\left(x\right)-\left(x^3+x-1\right)^2$

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: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

Related Topics

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

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

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account