Concept:Expand two binomials by multiplying each term of the first bracket with each term of the second bracket, then simplify like terms.Explanation:Apply the distributive property: (x−2)(x+4)=x(x+4)−2(x+4).Multiply term by term: x⋅x+x⋅4−2⋅x−2⋅4.This gives x2+4x−2x−8.Combine the like terms 4x and −2x: x2+2x−8.Answer:Option A: x2+2x−8