Given that the length of the rectangle is x, the width is y, the perimeter is 16, and the area is 15, find the value of x ^ 3 y + 2x ^ 2Y ^ 2 + XY ^ 3

Given that the length of the rectangle is x, the width is y, the perimeter is 16, and the area is 15, find the value of x ^ 3 y + 2x ^ 2Y ^ 2 + XY ^ 3

Perimeter = 2 (x + y) = 16
x+y=8
xy=15
x^3 y+2x^2y^2+xy^3=xy(x^2+2xy+y^2)=xy(x+y)^2=15×8×8=960