Question

40 pontos!

Fatore os polinômios abaixo:

a) x²-4

b) x²+8x+16

c) x²+3x+6y+3y²

d) x³-27

e) (X+1)²-(X-1)²

Answer 1

Oi...

a)

x² - 4

x² - 2²

(x - 2).(x + 2)

b)

x² + 8x + 16

x² + 2 × x × 4 + 4²

(x + 4)²

c)

x² + 3x + 6y + 3y²

x(x+ 3) + 3y(2 + y)

d)

x³ - 27

x³ - 3³

(x - 3) × (x² + 3x + 9)

e)

(x + 1)² - (x - 1)²

2 × 2x

4x

Espero ter ajudado.

Answer 2

Resposta:

a) x²-4=(x-2)*(x+2)

b) x²+8x+16 =(x-4)*(x-4)

c) x²+3x+6y+3y²  

d) x³-27 =

(x-3)³=x³-3*x²*3+3*x*3²-27

x³-27 =(x-3)³+9*x*(x-3)

x³-27=(x-3)*[(x-3)²+9x]

x³-27=(x-3)*(x²+9+3x)

e) (x+1)²-(x-1)²= x²+2x+1-x²+2x-1 =4x