Answer:
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
Explanation:
(8x • (y^3)) + x • (x - y)^3
2^3xy^3 + x • (x - y)^3
Evaluate : (x-y)^3 = x^3-3x^2y+3xy^2-y^3
Pull out like factors :
x^4 - 3x^3y + 3x^2y^2 + 7xy^3 =
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube