Question

Calcule os produtos:
a) (x-1)·(x-2)·(x-3)
b) (x+2)·(x-1)·(x+3)
c)(x+1)·(x+3)·(x-1)
d) (2-a)·(1+a)·(3-2a)

Answer 1

a) (x-1)·(x-2)·(x-3) = (x² - 2x -x+2).(x-3)= x³-2x²-x²+2x-3x²+6x+3x-6= x³-6x²+11x-6

b) (x+2)·(x-1)·(x+3) =(x²-x+2x-2)(x+3)=x³-x²+2x²-2x+3x²-3x+6x-6= x³+4x²+x-6 

c)(x+1)·(x+3)·(x-1) = (x²+3x+x+3)(x-1)= x³+3x²+x²+3x-x²-3x-x-3=x³+3x²-x-3

d) (2-a)·(1+a)·(3-2a) = (2+2a-a-a²)(3-2a)= 6+6a-3a-3a²-4a-4a²+2a²+2a³=2a³-5a²-a+6