Simplify the expression $g\left(x\right)=\frac{x^5\left(x-1\right)^3}{\left(x+2\right)^3\sqrt{x^2+1}}$

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

$g\left(x\right)=\frac{x^5x^3-3x^2+3x-1}{\left(x+2\right)^3\sqrt{x^2+1}}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Solve by completing the square
  • 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

The cube of a binomial (difference) is equal to the cube of the first term, minus three times the square of the first by the second, plus three times the first by the square of the second, minus the cube of the second term. In other words: $(a-b)^3=a^3-3a^2b+3ab^2-b^3 = (x)^3+3(x)^2(-1)+3(x)(-1)^2+(-1)^3 =$

$g\left(x\right)=\frac{x^5x^3+3\cdot -1x^2+3\cdot {\left(-1\right)}^2x+{\left(-1\right)}^3}{\left(x+2\right)^3\sqrt{x^2+1}}$

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

$g\left(x\right)=\frac{x^5x^3+3\cdot -1x^2+3\cdot {\left(-1\right)}^2x+{\left(-1\right)}^3}{\left(x+2\right)^3\sqrt{x^2+1}}$

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 g(x)=(x^5(x-1)^3)/((x+2)^3(x^2+1)^(1/2)). The cube of a binomial (difference) is equal to the cube of the first term, minus three times the square of the first by the second, plus three times the first by the square of the second, minus the cube of the second term. In other words: (a-b)^3=a^3-3a^2b+3ab^2-b^3 = (x)^3+3(x)^2(-1)+3(x)(-1)^2+(-1)^3 =. Multiply 3 times -1. Calculate the power {\left(-1\right)}^2. Multiply 3 times 1.

Final answer to the problem

$g\left(x\right)=\frac{x^5x^3-3x^2+3x-1}{\left(x+2\right)^3\sqrt{x^2+1}}$

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

Help us improve with your feedback!

Function Plot

Plotting: $g\left(x\right)+\frac{-x^{8}+3x^{7}-3x^{6}+x^5}{\left(x+2\right)^3\sqrt{x^2+1}}$

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