p²(X+Y)²-q²(X-Y)² 因式分解
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 22:40:53
p²(X+Y)²-q²(X-Y)²因式分解p²(X+Y)²-q²(X-Y)²因式分解p²(X+Y)²
p²(X+Y)²-q²(X-Y)² 因式分解
p²(X+Y)²-q²(X-Y)² 因式分解
p²(X+Y)²-q²(X-Y)² 因式分解
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)
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)
(p(x+y)+q(x-y))(p(x+y)-q(x-y))