Упростите (a^2-3)^3-(a-2)(a^2+4)(a+2)

Question

Упростите (a^2-3)^3-(a-2)(a^2+4)(a+2)

Answer 1

(a²-3)³-(a-2)(a²+4)(a+2)=a^6-9a^4+27a²-27-(a²-4)(a²+4)=a^6-9a^4+27a²-27-(a^4-256)=a^6-9a^4+27a²-27-a^4+256=a^6-10a^4+27a²+229

(a²-3)³=a^6-3a^4*3+3a²*3²-3³=a^6-9a^4+27a²-27
(a-2)(a+2)=a²-2²=a²-4
(a²-4)(a²+4)=a^4-4^4=a^4-256