Question

simplifique a expressão (2a+4)^3-(a-2)^3​

Answer 1

(2a+4)³=(2a)³+3.(2a)². 4+3.2a. 4²+4³

=8a³+48a²+96a+64

(a-2)³=a³-3.a². 2+3.a. (-2)²-(2)³

=a³-6a²+12a-8

(2a+4)³-(a-2)³

=8a³+48a²+96a+64-(a³-6a²+12a-8)

=8a³+48a²+96a+64-a³+6a²-12a+8

=7a³+54a²+84a+72