Question

(x+1/2).(x+1/2).(x+1/2) ou (x+1/2)³

Answer 1

(x+1/2).(x+1/2).(x+1/2) ⇒ aplicando distributiva ⇒ (x²+1/2x+1/2x+(1/2)²).(x+1/2)=(x²+x+1/4).(x+1/2)=x³+1/2x²+x²+1/2x+1/4x+(1/4)*(1/2)=x³+3/2x²+3/4x+1/8

Answer 2

(x+1/2).(x+1/2).(x+1/2) ⇒ aplicando distributiva ⇒ (x²+1/2x+1/2x+(1/2)²).(x+1/2)=(x²+x+1/4).(x+1/2)=x³+1/2x²+x²+1/2x+1/4x+(1/4)*(1/2)=x³+3/2x²+3/4x+1/8