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Expand the expression $\left(\frac{xy}{3}+\frac{-y^2}{6x}\right)^2$

Step-by-step Solution

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Final Answer

$\frac{x^2y^2}{9}-\frac{1}{9}y^{3}+\frac{y^{4}}{36x^2}$
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Step-by-step Solution

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Expand $\left(\frac{xy}{3}+\frac{-y^2}{6x}\right)^2$

$\left(\frac{xy}{3}\right)^2-\frac{1}{9}y^{3}+\left(\frac{-y^2}{6x}\right)^2$

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

$\left(\frac{xy}{3}\right)^2-\frac{1}{9}y^{3}+\left(\frac{-y^2}{6x}\right)^2$

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Learn how to solve trigonometric integrals problems step by step online. Expand the expression ((xy)/3+(-y^2)/(6x))^2. Expand \left(\frac{xy}{3}+\frac{-y^2}{6x}\right)^2. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\frac{x^2y^2}{9}-\frac{1}{9}y^{3}+\frac{y^{4}}{36x^2}$

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Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Plotting: $\frac{x^2y^2}{9}-\frac{1}{9}y^{3}+\frac{y^{4}}{36x^2}$

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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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Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

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