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DIVISIÓN ALGEBRAÍCA

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DIVISIÓN ALGEBRAÍCA

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Objetivo de aprendizaje:
Al concluir la actividad, el estudiante será capaz de resolver operaciones de división algebraica, a través de ejercicios progresivos que favorecen la práctica repetitiva hasta lograr el aprendizaje procedimental de la división algebraica.

Created by

Angelica Montejo
Angelica Montejo
Mexico

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DIVISIÓN ALGEBRAÍCA
 

DIVISIÓN ALGEBRAÍCAOnline version

Objetivo de aprendizaje: Al concluir la actividad, el estudiante será capaz de resolver operaciones de división algebraica, a través de ejercicios progresivos que favorecen la práctica repetitiva hasta lograr el aprendizaje procedimental de la división algebraica.

by Angelica Montejo
1

x⁵ ÷ x² = x³

2

6x³ ÷ 2x = 3x²

3

x² ÷ x² = x

4

8y⁴ ÷ 4y² = 2y²

5

10a³ ÷ 5a = 2a³

6

9x² ÷ 3x = 3x

7

x³ ÷ x = x⁴

8

12m⁵ ÷ 3m² = 4m³

9

15x²y ÷ 3xy = 5x

10

y⁴ ÷ y² = y⁶

11

6x³ ÷ 2x

12

10y⁴ ÷ 5y²

13

12a⁵ ÷ 3a²

14

8m⁶ ÷ 2m³

15

15x²y ÷ 3xy

16

(9x² + 6x) ÷ 3x

17

(12m² + 8m) ÷ 4m

18

(x² + 5x + 6) ÷ (x + 2)

19

(x² − 4) ÷ (x − 2)

20

(x² + 9x + 20) ÷ (x + 4)

Explicación

Al dividir potencias de la misma base se restan los exponentes: 5 − 2 = 3.

Aclaración: Se divide el coeficiente (6÷2=3) y se restan exponentes (3−1=2).

Cuando los exponentes son iguales, el resultado es 1, no x.

8÷4=2 y 4−2=2, por lo que el resultado es 2y².

El resultado correcto es 2a² porque 3−1=2.

9÷3=3 y 2−1=1, por lo tanto queda 3x.

Se restan exponentes: 3−1=2, el resultado es x².

Aclaración: 12÷3=4 y 5−2=3.

Se simplifican variables comunes y queda 5x.

Se restan exponentes: 4−2=2, no se suman.

Aclaración: Divide coeficientes y resta exponentes: 6÷2=3 y 3−1=2.

Aclaración: 10÷5=2 y 4−2=2.

Aclaración: 12÷3=4 y 5−2=3.

Aclaración: 8÷2=4 y 6−3=3.

Aclaración: Se cancelan variables comunes y queda 5x.

Se divide cada término: 9x²/3x=3x y 6x/3x=2.

Aclaración: Se divide término a término.

Aclaración: (x+2)(x+3), se simplifica.

Aclaración: Diferencia de cuadrados.

Aclaración: Se factoriza: (x+4)(x+5).

 
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