Factor the polynomial completely x18y15 Select the correct c

Factor the polynomial completely x^18-y^15 Select the correct choice below and. if necessary, fill in the your choice

Solution

Theory : A difference of two perfect cubes,  a³ - b³ can be factored into
              (a-b) • (a² +ab +b²)

Proof :  (a-b)•(a²+ab+b²) =
            a³+a²b+ab²-ba²-b²a-b³ =
            a³+(a²b-ba²)+(ab²-b²a)-b³ =
            a³+0+0+b³ =
            a³+b³

Check : x¹⁸ is the cube of   x⁶

Check : y¹⁵ is the cube of   y⁵

Factorization is :
             (x⁶ - y⁵)  •  (x¹² + x⁶y⁵ + y¹⁰)