p²(X+Y)²-q²(X-Y)² 因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 18:31:53
![p²(X+Y)²-q²(X-Y)² 因式分解](/uploads/image/z/9293257-1-7.jpg?t=p%26%23178%3B%28X%2BY%29%26%23178%3B-q%26%23178%3B%28X-Y%29%26%23178%3B+%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
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))