`6x+3-(2x-5)(2x+1)`
`=3(2x+1)-(2x-5)(2x+1)`
`=(2x+1)(3-2x+5)`
`=(2x+1)(8-2x)`
`=2(2x+1)(4-x)`
\(6x+3-\left(2x-5\right)\left(2x+1\right)\)
\(=3\left(2x+1\right)-\left(2x-5\right)\left(2x+1\right)\)
\(=\left(2x+1\right)\left(3-2x+5\right)\)
\(=\left(2x+1\right)\left(8-2x\right)\)
\(=2\left(2x+1\right)\left(4-x\right)\)