解：x³+2x²-3<0x³-x²+3x²-3x+3x-3<0x²(x-1)+3x(x-1)+3(x-1)<0(x-1)(x²+3x+3)<0x²+3x+3=(x+ 3/2)²+¾恒>0x-1<0x<1不等式的解集为(-∞，1)
