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

Expand the expression $\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$

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

$\frac{\sqrt{x^{5}-x^2y^3+2yx^{4}-2y^{4}x+y^2x^3-y^{5}}x^2-\sqrt{x^{5}-x^2y^3+2yx^{4}-2y^{4}x+y^2x^3-y^{5}}y^2}{4\sqrt{x+y}\sqrt{x^2+xy+y^2}}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Load more...
Can't find a method? Tell us so we can add it.
1

Multiplying the fraction by $\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}$

$\frac{\left(x^2-y^2\right)\sqrt{\frac{\left(x^3-y^3\right)\left(x^2+2xy+y^2\right)}{\left(x+y\right)\left(x^2+xy+y^2\right)}}}{4}$

Learn how to solve definite integrals problems step by step online.

$\frac{\left(x^2-y^2\right)\sqrt{\frac{\left(x^3-y^3\right)\left(x^2+2xy+y^2\right)}{\left(x+y\right)\left(x^2+xy+y^2\right)}}}{4}$

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

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

Learn how to solve definite integrals problems step by step online. Expand the expression (((x^3-y^3)/(x+y)(x^2+2xyy^2))/(x^2+xyy^2))^1/2(x^2-y^2)/4. Multiplying the fraction by \sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}. Multiplying polynomials x^3-y^3 and x^2+2xy+y^2. Multiplying polynomials x^2 and x^3-y^3. Multiplying polynomials x^3-y^3 and 2xy+y^2.

Final answer to the problem

$\frac{\sqrt{x^{5}-x^2y^3+2yx^{4}-2y^{4}x+y^2x^3-y^{5}}x^2-\sqrt{x^{5}-x^2y^3+2yx^{4}-2y^{4}x+y^2x^3-y^{5}}y^2}{4\sqrt{x+y}\sqrt{x^2+xy+y^2}}$

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

Give us your feedback!

Function Plot

Plotting: $\frac{\sqrt{x^{5}-x^2y^3+2yx^{4}-2y^{4}x+y^2x^3-y^{5}}x^2-\sqrt{x^{5}-x^2y^3+2yx^{4}-2y^{4}x+y^2x^3-y^{5}}y^2}{4\sqrt{x+y}\sqrt{x^2+xy+y^2}}$

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: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

See formulas (1)

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