Question

Factor completely. Drag the expressions into the box if they are part of the factored form of the polynomial. If the polynomial is not factorable, drag prime.

𝑤^3 −2⁢𝑦^3

Answer 1

w^3 − 2y^3 = (w − ∛2 y)(w^2 + ∛2 w y + ∛4 y^2).

(Note: over the rationals this polynomial is irreducible, so only factors with cube roots exist.)