Question

Fatore o binômio 8a³-1​

Answer 1

Resposta:

8a³-1

(2a-1)³=(2a)³ +3 *(2a)²*(-1) +3*(2a)*(-1)² + (-1)³

(2a-1)³=8a³ -12a²+6a -1

(2a-1)³=8a³ -1 -12a²+6a

(2a-1)³=8a³ -1 - 6a*(2a-1)

8a³-1 =(2a-1)³ +6a*(2a-1)

8a³-1 =(2a-1)*[(2a-1)²+6a]

8a³-1 =(2a-1)*[4a²-4a+1+6a]

8a³-1 =(2a-1)*(4a²+2a+1)