Question

Descompuneti in factori, grupand convenabil termenii:
a) x³-x²-9x+9
b) x³-x²-4x+4
c) x³+2x²-x-2
d) x³-4x²-4x+16
e) x³+3x²-4x-12
f) x³+3x²-9x-27

Help pls

Answer 1

a)x²(x-1)-9(x-1)=
   (x-1)(x²-9)=
   (x-1)(x-3)(x+3)

b)x²(x-1)-4(x-1)=
   (x-1)(x²-4)=
   (x-1)(x-2)(x+2)

c)x²(x+2)-(x+2)=
   (x+2)(x²-1)=
   (x+2)(x-1)(x+1)

d)x²(x-4)-4(x-4)=
   (x-4)(x²-4)=
   (x-4)(x-2)(x+2)

e)x²(x+3)-4(x+3)=
   (x+3)(x²-4)=
   (x+3)(x-2)(x+2)

f)x²(x+3)-9(x+3)=
   (x+3)(x²-9)=
   (x+3)²(x-3)