因式分解x的5次方y-x³y+2x²y-xy

因式分解x的5次方y-x³y+2x²y-xy
因式分解x的5次方y-x³y+2x²y-xy

因式分解x的5次方y-x³y+2x²y-xy
原式=xy(x⁴-x²+2x-1)
=xy[x⁴-(x-1)²]
=xy(x²+x-1)(x²-x+1)

x^5y-x³y+2x²y-xy
=-xy﹙x²﹣2x+1﹣x⁴﹚
=-xy[﹙x-1﹚²﹣x⁴]
=-xy﹙x²﹢x-1﹚﹙x-1-x²﹚
=xy﹙x²﹢x-1﹚﹙x²﹣x+1﹚