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Desafío de Factorización

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Desafío de Factorización

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Factorización rápida

Created by

Delio Rodriguez Franco
Delio Rodriguez Franco
Panama

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Desafío de Factorización
 

Desafío de FactorizaciónOnline version

Factorización rápida

by Delio Rodriguez Franco
1

Factoriza 6x^2 + 9x.

2

Factoriza x^2 - 9.

3

Factoriza x^2 + 5x + 6.

4

Factoriza por agrupación: 3x^2 + 6x + 2x + 4.

5

Factoriza 2x^3 + 4x^2 + 2x.

6

Completa: a^2 + 2ab + b^2 = ?

7

Factoriza x^3 - 8.

8

Factoriza 9x^2 - 24x + 16.

9

Factoriza 12x^2 - 20x.

10

Factoriza x^3 + 3x^2 + 2x.

Explicación

Se extrae el factor común 3x. 6x^2+9x = 3x(2x+3). Otros métodos no simplifican correctamente.

Es diferencia de cuadrados: a^2-b^2=(a-b)(a+b). x^2-9 = (x-3)(x+3).

Buscas dos números que sumen 5 y multipliquen 6: 2 y 3. Entonces (x+2)(x+3).

Agrupa: (3x^2+6x)+(2x+4)=3x(x+2)+2(x+2)=(3x+2)(x+2).

Extraes 2x y luego ((x)^2+2x+1) = (x+1)^2.

Es el cuadrado de un binomio: a^2+2ab+b^2=(a+b)^2.

Diferencia de Cubos: a^3-b^3=(a-b)(a^2+ab+b^2). Con a=x, b=2.

Es un trinomio cuadrado perfecto: (3x)^2-2·3x·4+4^2=(3x-4)^2.

Factor común 4x: 12x^2-20x=4x(3x-5).

Factor común x: x(x^2+3x+2)=x(x+1)(x+2).

 
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