Упростите n^3-27/9n : n-3/27n^3

Question

Упростите n^3-27/9n : n-3/27n^3

Answer 1

(n³-27)/9n : (n-3)/27n³=(n³-3³)/9n . 27n³/(n-3)=
=(n³-3³)/1 . 3n²/(n-3)=
=(n-3)(n²+3n+9).3n²/(n-3)=
=(n²+3n+9).3n²=3nˇ4 +9n³+27n²
                          ============
 
 (nˇ4=n.n.n.n)