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Find the break even points of the expression $\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$

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Final answer to the problem

$y=x,\:y=-x,\:x-y=0,\:x+y=0$
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Step-by-step Solution

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Find the break even points of the polynomial $\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$ by putting it in the form of an equation and then set it equal to zero

$\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}\frac{x^2-y^2}{4}=0$

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$\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}\frac{x^2-y^2}{4}=0$

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Learn how to solve problems step by step online. Find the break even points of the expression (((x^3-y^3)/(x+y)(x^2+2xyy^2))/(x^2+xyy^2))^1/2(x^2-y^2)/4. Find the break even points of the polynomial \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} by putting it in the form of an equation and then set it equal to zero. 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 the fraction by x^2+2xy+y^2. Divide fractions \frac{\frac{\left(x^3-y^3\right)\left(x^2+2xy+y^2\right)}{x+y}}{x^2+xy+y^2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.

Final answer to the problem

$y=x,\:y=-x,\:x-y=0,\:x+y=0$

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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

Solve for xSolve for yFind the discriminantFind the derivativeSolve by implicit differentiationSolve for y'Find dy/dxDerivative

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Function Plot

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

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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

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