Answer
$(2x+1)(30x-19)$
Work Step by Step
The given expression is
$5(2x+1)^2+(5x-6)\cdot 2(2x+1)\cdot 2$
$=5(2x+1)^2+4(5x-6)(2x+1)$
Factor out $(2x+1)$.
$=(2x+1)[5(2x+1)+4(5x-6)]$
Use distributive property.
$=(2x+1)[10x+5+20x-24]$
Add like terms.
$=(2x+1)(30x-19)$.
Hence, the completely factored form is $(2x+1)(30x-19)$.
