Concept:Use the distributive property to expand each bracket and then simplify by combining like terms.Explanation:Expand the brackets by multiplying each term inside the bracket with the term outside.3x−2(3+2x)+x(2x+4)=3x−2×3−2×2x+x×2x+x×4=3x−6−4x+2x2+4xNow, group the like terms together.=2x2+3x−4x+4x−6Simplify the x-terms.Since −4x+4x=0, we are left with 3x.=2x2+3x−6Answer:The simplified expression is 2x2+3x−6.Hence, the correct option is B.