多项式2x2y2-2y2+(xy-1)(x-1)2因式分解后还有的因式是字母后面的事次数字后面的是次数求………………
问题描述:
多项式2x2y2-2y2+(xy-1)(x-1)2因式分解后还有的因式是
字母后面的事次数
字后面的是次数求………………
答
2x2y2-2y2+(xy-1)(x-1)2=2(xy2-y2)+(xy-1)(x-1)2
=2[y2(x-1)]+(xy-1)(x-1)2
=2y2(x-1)+(xy-1)(x-1)2
=(x-1)[2y2+(xy-1)(x-1)]
=(x-1)(2y2+x2y-xy+1-x)
答
x-1