Question

o calculo do polinômio abaixo é:
(-2c²) . (2c²+4c-3c²)

a)( ) 4c⁴+c³+6c⁴
b)( ) -4c⁴-8c³+6c⁴
c)( ) 4c³-8c²+6c²
d)( ) -4c³+8c⁴+6c²

Answer 1

Resposta:

alternativa b

Explicação passo-a-passo:

$( - 2 {c}^{2} ).(2 {c}^{2} + 4c - 3 {c}^{2} ) \\ \\ distribuimos \\ \\ - 4 {c}^{4} - 8 {c}^{2} + 6 {c}^{4}$

Answer 2

Resposta:

Opção b)

$- 4 {c}^{4} - 8 {c}^{3} + 6 {c}^{4}$

Explicação passo-a-passo:

$( - 2 {c}^{2} ) \times (2 {c}^{2} + 4c - 3 {c}^{2} ) = \\ = ( - 2 {c}^{2} ) \times 2 {c}^{2} + ( - 2 {c}^{2} ) \times 4c + ( - 2 {c}^{2} ) \times ( - 3 {c}^{2} )$

$( - 1) \times 2 {c}^{2} \times 2 {c}^{2} + ( - 1) \times 2 {c}^{2} \times 4c + ( - 1) \times ( - 1) \times 2 {c}^{2} \times 3 {c}^{2} = \\ = ( - 1) \times 4 {c}^{(2 + 2)} + ( - 1) \times 8 {c}^{(2 + 1)} + 1 \times 6 {c}^{(2 + 2)}$

$- 4 {c}^{4} - 8 {c}^{3} + 6 {c}^{4}$