Question

Pfvvvvv me ajudem urgente

e)(x+2)(x+1)(2x-1)

Answer 1

Resposta:

(x + 2).(x + 1).(2x - 1) = 2x³ - 5x² - x - 2

Explicação passo a passo:

(x + 2).(x + 1).(2x - 1) =

= [(x + 2).(x + 1)].(2x - 1) =

= [(x).(x) + (2).(x) + (x).(1) + (2).(1)].(2x - 1) =

= [x² + 2x + x + 2].(2x - 1) =

= [x² + 3x + 2].(2x - 1) =

= (x²).(2x) + (x²).(-1) + (3x).(2x) + (3x).(-1) + (2).(2x) + (2).(-1) =

= 2x³ - x² + 6x² - 3x + 4x - 2 =

= 2x³ - 5x² - x - 2

Portanto:

(x + 2).(x + 1).(2x - 1) = 2x³ - 5x² - x - 2