分解因式x³-3x²+4
问题描述:
分解因式x³-3x²+4
答
x³-3x²+4
=x³+1-3(x²-1﹚
=﹙x+1﹚﹙x²-x+1﹚-3﹙x+1﹚﹙x-1﹚
=﹙x+1﹚﹙x²-x+1-3x+3﹚
=﹙x+1﹚﹙x²-4x+4﹚
=﹙x+1﹚﹙x-2﹚²