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\frac{3y\left(x^{2}-y^{2}\right)}{x-y}
Cancel out 5xy in both numerator and denominator.
\frac{3y\left(x+y\right)\left(x-y\right)}{x-y}
Factor the expressions that are not already factored.
3y\left(x+y\right)
Cancel out x-y in both numerator and denominator.
3xy+3y^{2}
Expand the expression.
\frac{3y\left(x^{2}-y^{2}\right)}{x-y}
Cancel out 5xy in both numerator and denominator.
\frac{3y\left(x+y\right)\left(x-y\right)}{x-y}
Factor the expressions that are not already factored.
3y\left(x+y\right)
Cancel out x-y in both numerator and denominator.
3xy+3y^{2}
Expand the expression.