Question

4) Calcule os seguintes produtos:

c) (x²+3x-2).(x-1)=

d) (x-1).(x+1).(x²+1)=

Answer 1

c)

$(x^2+3x-2)(x-1)\\\\ x^3-x^2+3x^2-3x-2x+2\\\\ x^3+2x^2-5x+2$

d)

$(x-1)(x+1)(x^2+1)\\\\ (x^2+x-x-1)(x^2+1)\\\\ (x^2-1)(x^2+1)\\\\ x^4+x^2-x^2-1\\\\ x^4-1$