2x(x+6)(x+3)=Px+6+Qx+3
2x(x+6)(x+3)=P(x+3)+Q(x+6)(x+6)(x+3)
Comparing equations, we have
2x=Px+3P+Qx+6Q
implies3P+6Q=0...(1);P+Q=2....(2)
From equation (1), 3P=−6QimpliesP=−2Q
∴−2Q+Q=−Q=2
Q=−2
P=−2Q=−2(−2)=4
P=4,Q=−2