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20c^{2}-27rc+9r^{2}
Consider 20c^{2}-27cr+9r^{2} as a polynomial over variable c.
\left(-3r+4c\right)\left(-3r+5c\right)
Find one factor of the form kc^{m}+n, where kc^{m} divides the monomial with the highest power 20c^{2} and n divides the constant factor 9r^{2}. One such factor is -3r+4c. Factor the polynomial by dividing it by this factor.