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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

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Final Answer

$\frac{\sqrt{x^{5}-x^2y^3+2x^{4}y-2y^{4}x+y^2x^3-y^{5}}x^2-\sqrt{x^{5}-x^2y^3+2x^{4}y-2y^{4}x+y^2x^3-y^{5}}y^2}{4\sqrt{x+y}\sqrt{x^2+xy+y^2}}$
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Step-by-step Solution

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

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

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

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Learn how to solve 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

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

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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

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