Factorize: `3sqrt(3)a^3-b^3-5sqrt(5)c^3-3sqrt(15)a b c`
`(sqrt3a)^3+(−b)^3+(-sqrt5c)^3−3sqrt3a (-b)(-sqrt5c)`
`(sqrt3a−b−sqrt5c)(sqrt3a)^2+(−b)^2+(−sqrt5c)^2−sqrt(3)axx(−b)−(−b)(−sqrt5)c)−(−sqrt5c)xxsqrt3a)`
`(sqrt3a^2−b−sqrt5c)(3a^2+b^2+5c^2+sqrt3ab−sqrt5bc+sqrt15ca)`

Explanation

`(sqrt3a)^3+(−b)^3+(-sqrt5c)^3−3sqrt3a (-b)(-sqrt5c)`
`(sqrt3a−b−sqrt5c)(sqrt3a)^2+(−b)^2+(−sqrt5c)^2−sqrt(3)axx(−b)−(−b)(−sqrt5)c)−(−sqrt5c)xxsqrt3a)`
`(sqrt3a−b−sqrt5c)(3a^2+b^2+5c^2+sqrt3ab−sqrt5bc+sqrt15ca)`