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Simplify $\left(\frac{y^3}{2}\right)^2+\frac{2\cdot 1\left(\frac{y^3}{2}\right)}{2y^3}+\left(\frac{1}{2y^3}\right)^2$

Step-by-step Solution

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Final Answer

$\frac{y^{6}}{4}+\frac{1}{2}+\frac{1}{4y^{6}}$
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Step-by-step Solution

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Multiply $2$ times $1$

$\left(\frac{y^3}{2}\right)^2+\frac{2\left(\frac{y^3}{2}\right)}{2y^3}+\left(\frac{1}{2y^3}\right)^2$

Learn how to solve combining like terms problems step by step online.

$\left(\frac{y^3}{2}\right)^2+\frac{2\left(\frac{y^3}{2}\right)}{2y^3}+\left(\frac{1}{2y^3}\right)^2$

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Learn how to solve combining like terms problems step by step online. Simplify ((y^3)/2)^2+(2(y^3)/2*1)/(2y^3)(1/(2y^3))^2. Multiply 2 times 1. 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

$\frac{y^{6}}{4}+\frac{1}{2}+\frac{1}{4y^{6}}$

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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind ((y^3)/2)^2+2(y^3)/2/2y^3 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{y^{6}}{4}+\frac{1}{2}+\frac{1}{4y^{6}}$

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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: Combining like terms

Algebraic expressions can be simplified by combining like terms.

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