用提公因式法因式分解：3x^3(x-y)^2-6x^2(x-y-^3+3x^2(x-y)^2
问题描述：
用提公因式法因式分解：3x^3(x-y)^2-6x^2(x-y-^3+3x^2(x-y)^2
答
3x³﹙x－y﹚²－6x²﹙x－y﹚³＋3x²﹙x－y﹚²
＝3x²﹙x－y﹚²﹙x－2x＋2y＋1﹚
＝3x²﹙x－y﹚²﹙y－x＋1﹚
答
3x³﹙x－y﹚²－6x²﹙x－y﹚³＋3x²﹙x－y﹚²
＝3x²﹙x－y﹚²﹙x－2x＋2y＋1﹚
＝3x²﹙x－y﹚²﹙y－x＋1﹚