化简
x2(x−y)y2(x+2y)
已知
x2(x−y)y2(x+2y)
做法
我们需要化简给定的式子。
解法
x2(x−y)y2(x+2y)=x2y2(x−y)(x+2y)
=x2y2(x2+2xy−xy−2y2)
=x2y2(x2+xy−2y2)
=x2y2(x2)+x2y2(xy)−x2y2(2y2)
=x2+2y2+x2+1y2+1−2x2y2+2
=x4y2+x3y3−2x2y4
广告
已知
x2(x−y)y2(x+2y)
做法
我们需要化简给定的式子。
解法
x2(x−y)y2(x+2y)=x2y2(x−y)(x+2y)
=x2y2(x2+2xy−xy−2y2)
=x2y2(x2+xy−2y2)
=x2y2(x2)+x2y2(xy)−x2y2(2y2)
=x2+2y2+x2+1y2+1−2x2y2+2
=x4y2+x3y3−2x2y4