$\frac{27m^3-125n^3}{3m-5n}$

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Final answer to the problem

$\frac{\left(3m+5n\right)\left(9m^{2}-15mn+25n^{2}\right)}{3m-5n}$
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Step-by-step Solution

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Apply the formula: $a+b$$=\left(\sqrt[3]{a}+\sqrt[3]{\left|b\right|}\right)\left(\sqrt[3]{a^{2}}-\sqrt[3]{a}\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right)$, where $a=27m^3$ and $b=-125n^3$

$\frac{\left(\sqrt[3]{27m^3}+\sqrt[3]{125n^3}\right)\left(\sqrt[3]{\left(27m^3\right)^{2}}-\sqrt[3]{27m^3}\sqrt[3]{125n^3}+\sqrt[3]{\left(125n^3\right)^{2}}\right)}{3m-5n}$

Learn how to solve division polynomiale longue problems step by step online.

$\frac{\left(\sqrt[3]{27m^3}+\sqrt[3]{125n^3}\right)\left(\sqrt[3]{\left(27m^3\right)^{2}}-\sqrt[3]{27m^3}\sqrt[3]{125n^3}+\sqrt[3]{\left(125n^3\right)^{2}}\right)}{3m-5n}$

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Learn how to solve division polynomiale longue problems step by step online. (27m^3-125n^3)/(3m-5n). Apply the formula: a+b=\left(\sqrt[3]{a}+\sqrt[3]{\left|b\right|}\right)\left(\sqrt[3]{a^{2}}-\sqrt[3]{a}\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right), where a=27m^3 and b=-125n^3. Apply the formula: \left(ab\right)^n=a^nb^n, where a=27, b=m^3 and n=\frac{1}{3}. Apply the formula: a^b=a^b, where a=27, b=\frac{1}{3} and a^b=\sqrt[3]{27}. Apply the formula: \left(ab\right)^n=a^nb^n, where a=125, b=n^3 and n=\frac{1}{3}.

Final answer to the problem

$\frac{\left(3m+5n\right)\left(9m^{2}-15mn+25n^{2}\right)}{3m-5n}$

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Function Plot

Plotting: $\frac{\left(3m+5n\right)\left(9m^{2}-15mn+25n^{2}\right)}{3m-5n}$

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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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