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\frac{2r^{2}\left(5r-5s\right)}{\left(rs-s^{2}\right)\left(2r-4r^{2}\right)}
Multiply \frac{2r^{2}}{rs-s^{2}} times \frac{5r-5s}{2r-4r^{2}} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 5\left(r-s\right)r^{2}}{2rs\left(-2r+1\right)\left(r-s\right)}
Factor the expressions that are not already factored.
\frac{5r}{s\left(-2r+1\right)}
Cancel out 2r\left(r-s\right) in both numerator and denominator.
\frac{5r}{-2rs+s}
Expand the expression.
\frac{2r^{2}\left(5r-5s\right)}{\left(rs-s^{2}\right)\left(2r-4r^{2}\right)}
Multiply \frac{2r^{2}}{rs-s^{2}} times \frac{5r-5s}{2r-4r^{2}} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 5\left(r-s\right)r^{2}}{2rs\left(-2r+1\right)\left(r-s\right)}
Factor the expressions that are not already factored.
\frac{5r}{s\left(-2r+1\right)}
Cancel out 2r\left(r-s\right) in both numerator and denominator.
\frac{5r}{-2rs+s}
Expand the expression.