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Multiplicacion de polinomios Gerardo Canul

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Desafío de multiplicación de polinomios

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Multiplicacion de polinomios Gerardo Canul
 

Multiplicacion de polinomios Gerardo CanulOnline version

Desafío de multiplicación de polinomios

by Fernanda Gutiérrez
1

1) ¿Resultado de 3x(2x+4)?

2

2) -2a(5a-3) ¿resultado?

3

3) (x+2)(x+3)

4

4) (x-4)(x+5)

5

5) (2x+1)(x+3)

6

6) (a-3)(a-3)

7

7) (3y-2)(2y+4)

8

8) (x+2)(x^2 - 2x + 4)

9

9) 2x^2(3x^3 - 4x + 1)

10

10) (x-1)(x^2 + x + 1)

Explicación

Aplica distributiva: 3x·2x = 6x^2 y 3x·4 = 12x

Distribuye: -2a·5a = -10a^2 y -2a·(-3)=+6a

FOIL: x^2, exteriores 3x, interiores 2x, últimos 6.

FOIL: x^2 +5x -4x -20 = x^2 + x -20.

Multiplica: 2x·x, 2x·3, 1·x, 1·3.

(a-3)^2 = a^2 -6a +9.

FOIL: 3y·2y, 3y·4, -2·2y, -2·4.

x·x^2 = x^3; x·(-2x) + x·4 cancels; 2·4 = 8.

Distribuye 2x^2: 2x^2·3x^3, 2x^2·(-4x), 2x^2·1.

Relación de (a- b)(a^2 + ab + b^2) con a=x, b=1.

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