Step-by-step Solution

Simplify the quotient of powers $\frac{24\left(x+y\right)^3\left(x-y\right)^2}{30\left(x+y\right)^2\left(x-y\right)^3}$

Go!
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Final Answer

$\frac{\frac{4}{5}\left(x+y\right)}{x-y}$

Step-by-step Solution

Problem to solve:

$\frac{24\left(x+y\right)^3\left(x-y\right)^2}{30\left(x+y\right)^2\left(x-y\right)^3}$

Solving method

1

Simplify the fraction $\frac{24\left(x+y\right)^3\left(x-y\right)^2}{30\left(x+y\right)^2\left(x-y\right)^3}$ by $x+y$

$\frac{\frac{4}{5}\left(x+y\right)\left(x-y\right)^2}{\left(x-y\right)^3}$
2

Simplify the fraction by $x-y$

$\frac{\frac{4}{5}\left(x+y\right)}{x-y}$

Final Answer

$\frac{\frac{4}{5}\left(x+y\right)}{x-y}$
$\frac{24\left(x+y\right)^3\left(x-y\right)^2}{30\left(x+y\right)^2\left(x-y\right)^3}$

Main topic:

Quotient of powers

Time to solve it:

~ 0.05 s