Question

Calcule os produtos

a) 3x.(2x-3).(x+2)

b)-2x.(x+5).(2x-5)

Answer 1

Explicação passo-a-passo:

a) 3x.(2x-3).(x+2)

3x.[(2x.(x+2)-3.(x+2)]

3x.[2x²+4x-3x-6]

3x.[2x²+x-6]

6x³+3x²-18x

b)-2x.(x+5).(2x-5)

-2x.[x.(2x-5)+5.(2x-5)]

-2x.[2x²-5x+10x-25]

-2x.[2x²+5x-25]

-4x³-10x²+50x

Answer 2

Resposta:

$= 3x \times (2x-3) \times (x+2) \\ = 3x \times (2 {x}^{2} + 4x - 3x - 6) \\ = 3x \times (2 {x}^{2} + x - 6) \\ = 6 {x}^{3} + 3 {x}^{2} - 18x$

$= - 2x \times (x+5) \times (2x-5) \\ = -2x \times (2 {x}^{2} - 5x + 10x - 25) \\ = -2x \times (2 {x}^{2} + 5x - 25) \\ = -4 {x}^{3} - 10 {x}^{2} +50x$