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Examen: Factorización y fracciones algebraicas

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Examen: Factorización y fracciones algebraicas

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Cuestionario de factorización

Created by

Eblin Martinez
Eblin Martinez
Colombia

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Examen: Factorización y fracciones algebraicas
 

Examen: Factorización y fracciones algebraicasOnline version

Cuestionario de factorización

by Eblin Martinez
1

Factoriza: x^2 - 9.

2

Factoriza por factor común: 6x^2y + 9xy.

3

Factoriza: x^2 + 5x + 6.

4

Simplifica la fracción algebraica: (x^2-4)/(x-2).

5

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

6

Factoriza: 2x^2 - 8.

7

Factoriza: x^2y - xy^2.

8

Simplifica la fracción: (3x^2-3x)/(3x).

9

Factoriza: a^2b^2 - a^2.

10

Factoriza: x^3+3x^2+3x+1.

Explicación

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

Factor común 3xy: 6x^2y+9xy=3xy(2x+3).

Trinomio cuadrado perfecto de los factores (x+a)(x+b) con a=2, b=3.

Factor x^2-4=(x-2)(x+2); cancela x-2.

Agrupa como (x^3+3x^2)+(2x+6) = x^2(x+3)+2(x+3) = (x+3)(x^2+2).

Factor común 2 y diferencia de cuadrados.

Factor común xy: xy(x-y).

Factor 3x en numerador y denom. Simplifica 3x(x-1)/3x = x-1.

Factor a^2 común: a^2(b^2-1) = a^2(b-1)(b+1).

Es la expansión de (x+1)^3 = x^3+3x^2+3x+1.

 
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