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10y^{2}-21qy+2q^{2}
Consider 10y^{2}-21yq+2q^{2} as a polynomial over variable y.
\left(10y-q\right)\left(y-2q\right)
Find one factor of the form ky^{m}+n, where ky^{m} divides the monomial with the highest power 10y^{2} and n divides the constant factor 2q^{2}. One such factor is 10y-q. Factor the polynomial by dividing it by this factor.