Упростите выражение: (4-n^6)(16+4n^6+n^12)-4(4-n^3)^2

Question

Упростите выражение:
(4-n^6)(16+4n^6+n^12)-4(4-n^3)^2

Answer 1

(4-n^6)(16+4n^6+n^12)-4(4-n^3)²=(64-n^18)-4(4-n³)²=64-n^18-4(16-8n³+n^9)=
64-n^18-64+24n³-4n^9=24n³-n^18-4n^9=n³(24-n^15-4n^6)