y)是xy的话,那答案应该是:-x^3y^3+3x^2y^2-2xy;^的意思是前面的数字或者字母的后面的数字的次方,比如:2^3=2的三次方 谢谢采纳~
【解答】解:(x+y-2xy)(x+y-2)+(xy-1)2=(x+y)2-2xy(x+y)-2(x+y)+4xy+(xy)2-2xy+1=[(x+y)2-2xy(x+y)+(xy)2]-2(x+y-xy)+1=(x+y-xy)2-2(x+y-xy)+1=[(x+y-xy)-1]2=(-xy+x+y-1)2=[-x(y-1)+(y-1)]2=[(y-1)(1-x)]2=(x-1)2(y-1)2. 【分析...
设x+y=a,xy=b(a-2b)(a-2)+(b-1)^2=a^2-2ab-2a+4b+b^2-2b+1=a^2-2ab-2a+b^2+2b+1=a^2-2ab+b^2-2a+2b+1=(a-b)^2-2(a-b)+1=(a-b-1)^2
1-xy)^2+(x+y-2)(x+y-2xy)=0 y=1时(1-xy)^2+(x+y-2)(x+y-2xy)=0 ∴(1-xy)^2+(x+y-2)(x+y-2xy) 含有因式(x-1)(y-1)((1-xy)^2+(x+y-2)(x+y-2xy))/((x-1)(y-1))=xy-x-y+1=(x-1)(y-1) ∴(1-xy)^2+(x+y-2)(x+y-2xy)=(x-1)^2(y-1)^2 ...
C.x2+y2≤2 D.x2+y2≥1 【答案】BC 借助软件作图可见,方程x2+y2−xy=1对应一个关于直线y=x和y=−x对称的倾斜的椭圆。设x+y=t,则t的几何含义是过椭圆上的点的直线x+y=t在x轴上的截距,所以−2≤t≤2,设x2+y2=d,则d的几何含义是椭圆上的点到原点的距离的平方,当椭圆上的点为长轴和...
解答:(x+y-2xy)(x+y-2)+(xy-1)^2 =(x+y)^2-2(xy+1)+4xy+(xy-1)^2 =(x+y)^2-2(xy+1)++(xy+1)^2 =(x+y+xy+1)^2 (x+1)^2(y+1)^2
题目因式分解:(1)x2y-2xy+xy2; (2) \$- 2 x ^ { 4 } + 2\$ . 相关知识点: 试题来源: 解析 【答案】 \$( 1 ) x ( x - 2 + y ) ; ( 2 ) - 2 ( x ^ { 2 } + 1 ) ( x + 1 ) ( x - 1 )\$ 反馈 收藏
(x+y-2XY)(x+y-2)+(xy-1)^2 =[(x+y)-2xy][(x+y)-2]+(xy-1)^2=(x+y)^2-2(xy+1)(x+y)+4xy+x^2y^2-2xy+1=(x+y)^2-2(xy+1)(x+y)+x^2y^2+2xy+1=(x+y)^2-2(xy+1)(x+y)+(xy+1)^2 =[(x+y)-(xy+1)]^2=(x+y-xy-1)^2=[x(1-y)-(1...
分解因式:x2-2xy+y2=___. 答案 原式=(x-y)2,故答案为:(x-y)2 结果四 题目 因式分解:x2y2-2xy+1 答案 解: 解:x2y2-2xy+1 =(xy)22(xy)+12 =(xy1)2 故答案为: (xy-1)2 相关推荐 1因式分解:x2-2xy+y2= . 2分解因式:x2 - 2xy+y2= . 3分解因式:x2-2xy+y2=___. 4...
令x+y=a,xy=b,则(xy-1)2-(x+y-2xy)(2-x-y)=(b-1)2-(a-2b)(2-a)=b2-2b+1+a2-2a-2ab+4b=(a2-2ab+b2)+2b-2a+1=(b-a)2+2(b-a)+1=(b-a+1)2;即原式=(xy-x-y+1)2.故答案为:(xy-x-y+1)2... 式中x+y;xy多次出现,可引入两个新字母,突出式子特点,设x+y=a,xy...