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w^{2}+13gw+36g^{2}
Consider w^{2}+13wg+36g^{2} as a polynomial over variable w.
\left(w+9g\right)\left(w+4g\right)
Find one factor of the form w^{k}+m, where w^{k} divides the monomial with the highest power w^{2} and m divides the constant factor 36g^{2}. One such factor is w+9g. Factor the polynomial by dividing it by this factor.