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Suma, Resta y Cuadrado de Binomios

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Suma, Resta y Cuadrado de Binomios

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Polinomios: suma, resta y cuadrado

Created by

felipe olvera Cruz
felipe olvera Cruz
Mexico

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Suma, Resta y Cuadrado de Binomios
 

Suma, Resta y Cuadrado de BinomiosOnline version

Polinomios: suma, resta y cuadrado

by felipe olvera Cruz
1

La suma de polinomios no permite combinar coeficientes de términos semejantes.

2

La suma de polinomios se obtiene al combinar términos semejantes.

3

La suma de polinomios reduce siempre a un único término.

4

(a+b)^2 = a^2 + b^2

5

La suma de dos polinomios de grado 3 siempre tiene grado 6.

6

El binomio al cuadrado se puede escribir siempre como a^2 + b^2 + 2ab (sin cambios).

7

Para cuadrar un binomio, solo se multiplican los coeficientes (sin aplicar productos cruzados).

8

(3x^2 + x)^2 = 9x^4 + x^2

9

(2x)^2 = 2x

10

Sumar términos con variables diferentes no afecta la expresión final.

11

El binomio al cuadrado no tiene términos con ab.

12

La resta de polinomios siempre reduce el grado en 1.

13

Restar polinomios equivale a multiplicar el segundo por -1 antes de sumarlo.

14

(a+b)^2 = a^2 + b^2 + 2a + 2b

15

La resta de polinomios se realiza cambiando el signo del segundo polinomio.

16

La resta de polinomios se obtiene restando los coeficientes de términos no semejantes.

17

(x+y)^2 = x^2 + y^2 + 2xy (solo si x o y es 0).

18

Sacar la raíz de un polinomio es lo mismo que sumarlo.

19

El grado de la suma es la suma de los grados de los polinomios.

20

(x+1)^2 = x^2 + 1

21

(x-2)^2 = x^2 - 4x + 4 es igual a (x+2)^2

22

El grado de la suma de dos polinomios es el máximo de sus grados.

23

(3x - 4)^2 = 9x^2 - 24x + 16

24

(x^2 + 3x) + (-2x^2 + 5x) = -x^2 + 8x.

25

El binomio al cuadrado se expande como (a+b)^2 = a^2 + 2ab + b^2.

 
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