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25r^{2}-20r-16s^{2}+16s
Consider 25r^{2}-16s^{2}-20r+16s as a polynomial over variable r.
\left(5r-4s\right)\left(5r+4s-4\right)
Find one factor of the form kr^{m}+n, where kr^{m} divides the monomial with the highest power 25r^{2} and n divides the constant factor -16s^{2}+16s. One such factor is 5r-4s. Factor the polynomial by dividing it by this factor.