Factor
\left(p+4q\right)\left(p+27q\right)
Evaluate
\left(p+4q\right)\left(p+27q\right)
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p^{2}+31qp+108q^{2}
Consider p^{2}+31pq+108q^{2} as a polynomial over variable p.
\left(p+27q\right)\left(p+4q\right)
Find one factor of the form p^{k}+m, where p^{k} divides the monomial with the highest power p^{2} and m divides the constant factor 108q^{2}. One such factor is p+27q. Factor the polynomial by dividing it by this factor.
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