Question

(2a+4b) pangkat 3 =
(3p+2q) pangkat 5=
Beserta penjabarannya

Answer 1

• (2a+4b)³
= (2a+4b) (2a+4b) (2a+4b)
= (2a(2a) + 2a(4b) + 4b(2a) + 4b(4b)) (2a+4b)
= (4a² + 8ab + 8ab + 16b²) (2a+4b)
= (4a² + 16ab + 16b²) (2a+4b)
= (4a²(2a) + 16ab(2a) + 16b²(2a) + 4a²(4b) + 16ab(4b) + 16b²(4b))
= (8a³ + 32a²b + 32ab² + 16a²b + 64ab² + 64b³
= 8a³ + 48a²b + 96ab² + 64b³
= a³ + 6a²b + 12ab² + 8b³

• (3p+2q)^5
= (3p+2q)² (3p+2q)² (3p+2q)
= ((3p+2q) (3p+2q)) ((3p+2q) (3p+2q)) (3p+2q)
= (3p(3p) + 2q(3p) + 3p(2q) + 2q(2q)) (3p(3p) + 2q(3p) + 3p(2q) + 2q(2q)) (3p+2q)
= (9p² + 6pq + 6pq + 4q²) (9p² + 6pq + 6pq + 4q²) (3p+2q)
= (9p² + 12pq + 4q²) (9p² + 12pq + 4q²) (3p+2q)
= (9p²(9p²) + 12pq(9p²) + 4q²(9p²) + 9p²(12pq) + 12pq(12pq) + 4q²(12pq) + 9p²(4q²) + 12pq(4q²) + 4q²(4q²)) (3p+2p)
= (81p⁴ + 108p³q + 36p²q² + 108p³q + 144p²q² + 48pq³ + 36p²q² + 48pq³ + 16q⁴) (3p+2q)
= (81p⁴ + 216p³q + 216p²q² + 96pq³ + 16q⁴) (3p+2q)
= 81p⁴(3p) + 216p³q(3p) + 216p²q²(3p) + 96pq³(3p) + 16q⁴(3p) + 81p⁴(2q) + 216p³q(2q) + 216p²q²(2q) + 96pq³(2q) + 16q⁴(2q)
= isi sendiri ya lanjutannya