Question

Escreva o polinômio correspondente a: (ax +2b) 3

Answer 1

Oie, Td Bom?!

$= (ax + 2b) {}^{3}$

$= (ax) {}^{3} + 3 \: . \: (ax) {}^{2} \: . \: 2b + 3ax \: . \: (2b) {}^{2} + (2b) {}^{3}$

$= a {}^{3} x {}^{3} + 3a {}^{2} x {}^{2} \: . \: 2b + 3ax \: . \: 4b {}^{2} + 8b {}^{3}$

$= a {}^{3} x {}^{3} + 6a {}^{2} bx {}^{2} + 12ab {}^{2} x + 8b {}^{3}$

Att. Makaveli1996