Find the coefficients of the equivalent polynomial

Algebra Level pending

\(P(x,y)=5x^3+5y^3+4x^2y+4xy^2+3x^2+3y^2+2xy+x+y\)

\(r=x+y\)

\(s=xy\)

\(Q(r,s)=q_1r^3+q_2r^2+q_3rs+q_4r+q_5s\)

If \(P(x,y)=Q(r,s)\), then \(q_1+q_2+q_3+q_4+q_5=\ ?\)

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