Question

Desenvolva o Cubo da soma De Dois Termos : a) (x+2)^3 b) (2x+1)^3 c) (1+x^2)^3 d) (x^2+2)^3 e) (2+3z^2)^3

Answer 1

a) (x+2)³
  (x+2)².(x+2)
(x² + 4x + 4).(x+2)
x³ + 4x² + 4x + 2x² + 8x + 8
x³ + 6x² + 12x + 8

b) (2x+1)³
   (2x+1)².(2x+1)
(2x² + 4x + 1).(2x+1)
4x³ + 8x² + 2x + 2x² + 4x + 1
4x³ + 10x² + 6x + 1

c) (1+ x²)³
   (1+x²)².(1+x²)
(1 + x² + $x^{4}$).(1+x²)
1 + x² + $x^{4}$ + x² + $x^{4}$ + $x^{6}$
$x^{6}$ + $2x^{4}$ + 2x² + 1

d) (x²+2)³
(x²+2)².(x²+2)
($x^{4}$ + 4x² + 4).(x²+2)
$x^{6}$ + 4$x^{4}$ + 4x² + 2$x^{4}$ + 8x² + 8
$x^{6}$ + $6x^{4}$ + 12x² + 8

e) (2+3x²)³
(2+3x²)².(2+3x²)
(4 + 12x² + $3x^{4}$).(2+3x²)
8 + 48x² + $6x^{4}$ + 12x² + $36x^{4}$ + $9x^{6}$
$9x^{6}$ + $42x^{4}$ + 12x² + 8

Answer 2

Resposta:

a) (x+2)³

(x+2)².(x+2)

(x² + 4x + 4).(x+2)

x³ + 4x² + 4x + 2x² + 8x + 8

x³ + 6x² + 12x + 8

b) (2x+1)³

(2x+1)².(2x+1)

(2x² + 4x + 1).(2x+1)

4x³ + 8x² + 2x + 2x² + 4x + 1

4x³ + 10x² + 6x + 1

c) (1+ x²)³

(1+x²)².(1+x²)

(1 + x² + ).(1+x²)

1 + x²   + x² +  

+ 2x² + 1

d) (x²+2)³

(x²+2)².(x²+2)

( + 4x² + 4).(x²+2)

+ 4 + 4x² + 2 + 8x² + 8

 + 12x² + 8

e) (2+3x²)³

(2+3x²)².(2+3x²)

(4 + 12x² + ).(2+3x²)

8 + 48x² +   12x² +   

+   12x² + 8