Question

Dados os polinômios a seguir, calcule as operações em cada item. A=4x2 + 1 B -x-2 C=3x-y+3

a) b) A+B 2. (A-C)

c) B-A​

Answer 1

Resposta:

a. (a + b)

2 = a

2 + 2ab + b

2

b. (a − b)

2 = a

2 − 2ab + b

2

c. (a + b)

3 = a

3 + b

3 + 3ab(a + b)

d. (a − b)

3 = a

3 − b

3 − 3ab(a − b)

e. (a + b)(a − b) = a

2 − b

2

f. (a + b + c)

2 = a

2 + b

2 + c

2 + 2ab + 2ac + 2bc

a. a

3 + b

3 = (a + b)(a

2 − ab + b

2

)

b. a

3 − b

3 = (a − b)(a

2 + ab + b

2

)

1. Fatore  

3 + b

3 + c

3 − 3abc.

a

3 + b

3 + c

3 − 3abc =

a

3 + b

3 + 3ab(a + b) − 3ab(a + b) + c

3 − 3abc =

(a + b)

3 + c

3 − 3ab(a + b) − 3abc =

[(a + b) + c)] [(a + b)

2 − (a + b)c + c

2

] − 3ab(a + b + c) =

(a + b + c)(a

2 + 2ab + b

2 − ac − bc + c

2 − 3ab) =

(a + b + c)(a

2 + b

2 + c

2 − ab − ac − bc)

Explicação passo-a-passo: