Odpowiedzi

2010-03-31T22:49:25+02:00
A)
x³-8-6x²+12x=(x-2)(x²+2x+4)-6x(x-2)=(x-2)(x²-4x+4)=(x-2)³
b)
8x³-36x²+54x-27=(2x-3)(4x²+6x+9)-18x(2x-3)=(2x-3)(4x²-12x+9)=
=(2x-3)³
c)
125+75x+15x²+x³=(x+5)(x²-5x+25)+15x(x+5)=(x+5)(x²+10x+25)=
=(x+5)³
d)
2x³+12x²+24x+16=2(x+2)(x²-2x+4)+12x(x+2)=(x+2)(2x²+8x+8)=2(x+2)³
4 4 4