Question

factor the polynomial using a special factorization:
24x^3+3y^3

Answer 1

I don't know what special factorization means but I would factor this way

--
Since 3 is a factor in both term, pull it out
3(8x^3+y^3)

Answer 2

Using Sum of Cube X^3+Y^3= (x+y)(x^2-xy+y^2)
(2x+y)(4x^2-2xy+y^2)

Put that together
3(2x+y)(4x^2-2xy+y^2)