1)a³-6a²b+12ab²_8b³
2)27m³+27m²n+9mn²+n³
3)8p³+27q³+54pq²+36p²q
4)x³y³-6x²y²+12xy-8.

1)=(а-2b)³;

2)(3m - n)³;

3)=(2р+3q)³;

4)=(ху-2)³;

1) a³-6a²b+12ab²-8b³=a³-3·a²·2b+3·a·4b²-2³b³=a³-3·a²·2b+3·a·2²b²-(2b)³=a³-3·a²·2b+3·a·(2b²)-(2b)³=(a-2b)³
2) 27m³+27m²n+9mn²+n³=3³m³+3·9m²·n+3·3m·n²+n³=(3m)³+3·3²m²·n+3·3m·n²+n³=(3m)³+3·(3m)²·n+3·3m·n²+n³=(3m+n)³
3) 8p³+27q³+54pq²+36p²q=8p³+36p²q+54pq²+27q³=(2p+3q)³
4) x³y³-6x²y²+12xy-8=(xy)³-3·x²y²·2+3·xy·4-2³=(xy)³-3·(xy)²·2+3·xy·2²-2³=(xy-2)³