p²(X+Y)²-q²(X-Y)² 因式分解

分类: 作业答案 • 2021-12-20 09:28:07

问题描述：

答

(p(x+y)+q(x-y))(p(x+y)-q(x-y))

答

p²(X+Y)²-q²(X-Y)²
=[p(X+Y)-q(X-Y) ][p(X+Y)+q(X-Y) ]
=(pX+pY-qX+qY) (pX+pY+qX-qY)

答

原式为：p²(x＋y)²－q²(x－y)²
=[p(x＋y)]²－[q(x－y)]²
=[p(x＋y)＋q(x－y)][p(x＋y)－q(x－y)]
=(px＋py＋qx－qy)(px＋py－qx＋qy)