Question

factorize (a-3b)^3 + (3b-c)^3 +(c-a)^3​

Answer 1

$formula \\ {a}^{3} + {b}^{3} + {c}^{3} \\ = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab \\ \: \: \: \: \: \: \: \: - bc - ca) + 3abc\\ solutation \\ {(a - 3b)}^{3} + {(3b - c)}^{3} + {(c - a)}^{3} \\ \: \: \: \: \: = 3(a - 3b)(3b - c)(c - a) \: ans$