Question

Find the dimensions of a rectangular prism whose volume is (x^4 ‒ y ^4) units3.

Answer 1

Factor x^4-y^4: (x²+y²)(x²-y²)
further factor: (x²+y²)(x+y)(x-y)
so the dimensions are (x²+y²)(length),  (x+y) (width), and (x-y) (height)