Concept:Use the difference of two cubes formula: a3−b3=(a−b)(a2+ab+b2).Explanation:Write the expression as a difference of cubes.27x3−8y3=(3x)3−(2y)3.Here, a=3x and b=2y.Apply the formula: (3x)3−(2y)3=(3x−2y)((3x)2+(3x)(2y)+(2y)2).Simplify the second factor: 9x2+6xy+4y2.This matches the given factor, so the other factor is 3x−2y.Answer:D. 3x−2y