Question

1) Calcule, multiplicando os polinômios:

a) ( 3 a + 2 b ) . ( 2 a – 5 b ) =


b) ( x + 2 ) . ( x² - x – 2 ) =


c) ( a² - 1 ) . ( 2 a² - 2 a + 1 ) =


d) ( 5x² - x – 1 ) . ( 2x + x – 5 ) =

Answer 1

Resposta:

Explicação passo-a-passo:

a) (3a + 2b) . (2a – 5b) =

6a² + 4ab - 15ab - 10b² =

6a² - 11ab - 10b².

b) (x + 2) . (x² - x – 2) =

x³ - x² - 2x + 2x² - 2x - 4 =

x³ + x² - 4x - 4.

c) (a² - 1) . (2a² - 2a + 1) =

2a⁴ - 2a³ + a² - 2a² + 2a - 1 =

 2a⁴ - 2a³ - a² + 2a - 1.

d) (5x² - x – 1) . (2x + x – 5) =

10x³ - 2x² - 2x + 5x³ - x² - x - 25x² + 5x + 5 =

15x³ - 28x² + 2x + 5.