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Simplify the expression $y=\left(a+\frac{b}{x^2}\right)^3$

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Final Answer

$\frac{\left(b+ax^2\right)^3}{x^{6}}$
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Step-by-step Solution

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Combine $a+\frac{b}{x^2}$ in a single fraction

$\left(\frac{b+ax^2}{x^2}\right)^3$

Learn how to solve simplification of algebraic expressions problems step by step online.

$\left(\frac{b+ax^2}{x^2}\right)^3$

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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression y=(a+b/(x^2))^3. Combine a+\frac{b}{x^2} in a single fraction. 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}. Simplify \left(x^2\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 3. Multiply 2 times 3.

Final Answer

$\frac{\left(b+ax^2\right)^3}{x^{6}}$

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Plotting: $\frac{\left(b+ax^2\right)^3}{x^{6}}$

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5
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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

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Main Topic: Simplification of algebraic expressions

The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.

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