Answer
$(2x+1)(x+1)^2(11x+6)$
Work Step by Step
$5(2x+1)^2(x+1)^2+(2x+1)(x+1)^3=5(2x+1)(2x+1)(x+1)^2+(x+1)(2x+1)(x+1)^2=(2x+1)(x+1)^2[5(2x+1)+(x+1)]=(2x+1)(x+1)^2(10x+5+x+1)=(2x+1)(x+1)^2(11x+6)$
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