Question

Multiplicación de polinomio por monomio. Propiedad distributiva.

1. 2x( 6x2 - 5x ) =

2. 6x2 ( 2x2 – 5x + 6 ) =

3. ( a2 – 2 a3 – 4x ). 3ax =

4. - 3 a . ( 2 a2 – 2ab + 4b2 ) =

AYUDA PLIS DOY CORONA​

Answer 1

Respuesta:

$2x(6 {x}^{2} - 5x) = 12 {x}^{2 + 1} - 10 {x}^{1 + 1 } \\ = 12 {x}^{3} - 10 {x}^{2}$

$6 {x}^{2} (2 {x}^{2} - 5x + 6) \\ = 12 {x}^{2 + 2} - 30 {x}^{2 + 1} + 36 {x}^{2} \\ = 12 {x}^{4} - 30 {x}^{3} + 36 {x}^{2}$

$(a {}^{2} - 2 {a}^{3} - 4x)3ax \\ = 3 {a}^{2 + 1} x - 6 {a}^{3 + 1} x - 12a {x}^{1 + 1} \\ = 3 {a}^{3} x - 6 {a}^{4}x - 12a {x}^{2}$

$- 3a(2a {}^{2} - 2ab + 4b {}^{2} ) \\ = - 6 {a}^{2 + 1} + 6 {a}^{1 + 1} b - 12a {b}^{2} \\ = - 6 {a}^{3} + 6 {a}^{2} b - 12a {b}^{2}$