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Operaciones Algebraicas Avanzadas

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Operaciones Algebraicas Avanzadas

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Desafía tus habilidades algebraicas

Created by

DAVID GUILLERMO ESCOBAR ESPINOZA
DAVID GUILLERMO ESCOBAR ESPINOZA
El Salvador

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Operaciones Algebraicas Avanzadas
 

Operaciones Algebraicas AvanzadasOnline version

Desafía tus habilidades algebraicas

by DAVID GUILLERMO ESCOBAR ESPINOZA
1

Expande (x+3)(x-2) y simplifica.

2

Factoriza 9x^2-25 y^2.

3

Simplifica 2x^2-8x+6 dividiendo por 2.

4

Simplifica (x^3)^(2)

5

Resuelve 4x^2-:

6

Simplifica 3(x-2)(x+4)

7

Factoriza x^2-9x+20

8

Simplifica (2x-3)^2

9

Resuelve 5a-3b si a=b=2

10

Simplifica (a^2b^3)/(a b).

11

Si (x-1)(x+1)=x^2-1, entonces

12

Factoriza 6x^2+9x

13

Expande 2(y-1)+3(y+4)

14

Simplifica (a^3b^2)/(a^2b)

15

Si 3x-2=7, ¿cuál es x?

Explicación

Usa distributiva: x^2-2x+3x-6 = x^2+x-6.

Es diferencia de cuadrados: (a^2-b^2)=(a-b)(a+b), con a=3x, b=5.

Factor común 2: 2(x^2-4x+3)=2(x-1)(x-3). Dividir por 2 da x^2-4x+3.

Potenciación de potencias: (a^m)^n=a^{mn}.

La pregunta debe contener una expresión válida.

Distribuye 3: 3[(x-2)(x+4)]=3(x^2+2x-8)=3x^2+6x-24.

Buscas raíces: factores cuyo producto sea 20 y suma 9.

expansión de (a-b)^2 = a^2-2ab+b^2; con a=2x, b=3.

Sustituye: 5(2)-3(2)=10-6=4.

Restas exponentes de a y b: a^{2-1} b^{3-1}=a b^2.

Producto de diferencias de cuadrados.

Factor común 3x: 3x(2x+3).

Distribute: 2y-2+3y+12=5y+10.

Restas exponentes: a^{3-2} b^{2-1}=a b.

Despeja: 3x=9, x=3.

 
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