﹙x²－y²﹚﹙x＋y﹚－﹙x－y﹚³ 用公式法因式分解

来源：学生作业帮助网编辑：作业帮时间：2024/05/12 20:57:43

﹙x²－y²﹚﹙x＋y﹚－﹙x－y﹚³ 用公式法因式分解
﹙x²－y²﹚﹙x＋y﹚－﹙x－y﹚³ 用公式法因式分解

﹙x²－y²﹚﹙x＋y﹚－﹙x－y﹚³ 用公式法因式分解
原式=(x+y)²(x-y)-(x-y)³
=(x-y)[(x+y)²-(x-y)²]
=(x-y)(x+y+x-y)(x+y-x+y)
=4xy(x-y)

(X+Y)^2(X-Y)-(X-Y)(X^2+XY+Y^2)
=(X-Y)(X^2+2XY+Y^2-X^2-XY-Y^2)
=(X-Y)XY

﹙x²－y²﹚﹙x＋y﹚－﹙x－y﹚³ =（X+Y）(X-Y)(X+Y)-(X-Y)3=(X-Y)((X+Y)2-(X-Y)2)=4XY(X-Y)

﹙x²－y²﹚﹙x＋y﹚－﹙x－y﹚³ 用公式法 因式分解