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# Simplify the expression $\frac{216-125y^3}{6-5y}$

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##  Final answer to the problem

$36+30y+25y^{2}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
1

Factor the sum or difference of cubes using the formula: $a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2)$

$\frac{\left(\sqrt[3]{216}+\sqrt[3]{-125y^3}\right)\left(\sqrt[3]{\left(216\right)^{2}}-\sqrt[3]{216}\sqrt[3]{-125y^3}+\sqrt[3]{\left(125y^3\right)^{2}}\right)}{6-5y}$

Learn how to solve polynomial long division problems step by step online.

$\frac{\left(\sqrt[3]{216}+\sqrt[3]{-125y^3}\right)\left(\sqrt[3]{\left(216\right)^{2}}-\sqrt[3]{216}\sqrt[3]{-125y^3}+\sqrt[3]{\left(125y^3\right)^{2}}\right)}{6-5y}$

Learn how to solve polynomial long division problems step by step online. Simplify the expression (216-125y^3)/(6-5y). Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Calculate the power \sqrt[3]{216}. Calculate the power \sqrt[3]{\left(216\right)^{2}}. Multiply -1 times 6.

##  Final answer to the problem

$36+30y+25y^{2}$

##  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

SnapXam A2

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0
a
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x
y
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(◻)
+
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×
◻/◻
/
÷
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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

###  Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.